Download or read book Existence de solution d une quation elliptique avec exposant de Sobolev critique written by Myriam Comte and published by . This book was released on 1991 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dans cette thèse, nous appliquons des méthodes variationnelles pour étudier l'existence d'une solution d'une équation aux dérivées partielles elliptiques. Le second membre de cette équation est un polynome dont le degré est l'exposant critique de Sobolev. Cela signifie qu'il faut démonter que les extrema de la fonctionnelle, qui sont les solutions de l'équation, sont atteints en des points de l'espace de Sobolev h. Nous démontrons l'importance de la condition au bord sur l'existence d'une solution. En effet si la condition sur le bord est une condition de Dirichlet homogène, on peut construire pour chaque niveau d'énergie, un domaine non-étoile pour lequel la seule solution d'énergie inférieure a ce niveau est la solution identiquement nulle. En revanche, si l'on impose une condition de Neumann homogène sur le bord, on démontre que l'équation admet toujours une solution pourvu que le domaine soit assez régulier

Download or read book Existence de solution d une equation elliptique avec exposant de Sobolev critique written by Myriam Comte (professeur de mathématiques).) and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book quations elliptiques non lin aires avec l exposant critique de Sobolev written by Olivier Rey and published by . This book was released on 1989 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: ON S'INTERESSE A L'EXISTENCE ET AU COMPORTEMENT DE SOLUTIONS POSITIVES, NULLES AU BORD, D'EQUATIONS ELLIPTIQUES NON-LINEAIRES FAISANT INTERVENIR L'EXPOSANT CRITIQUE DE SOBOLEV, SUR DES DOMAINES BORES REGULIERS DE DIMENSION SUPERIEURE OU EGALE A 33. ON ETUDIE LES PROBLEMES VARIATIONNELS ASSOCIS, DONT LES FONCTIONNELLES NE VERIFIENT PAS LA CONDITION DE PALAIS-SMALE. ON DEMONTRE DIFFERENTS RESULTATS D'EXISTENCE, DE MULTIPLICITE, DE CONCENTRATION ET DE BIFURCATION DES SOLUTIONS EN FONCTION DE L'EQUATION ET DES PROPRIETES GEOMETRIQUES ET TOPOLOGIQUES DU DOMAINE. ON ANALYSE EN PARTICULIER LE ROLE JOUE PAR LA FONCTION DE GREEN DANS CE TYPE DE PROBLEMES

Download or read book Superlinear Parabolic Problems written by Pavol Quittner and published by Springer Science & Business Media. This book was released on 2007-12-16 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. This class of problems contains, in particular, a number of reaction-diffusion systems which arise in various mathematical models, especially in chemistry, physics and biology. The book is self-contained and up-to-date, taking special care on the didactical preparation of the material. It is devoted to problems that are intensively studied but have not been treated thus far in depth in the book literature.

Download or read book Superlinear Parabolic Problems written by Prof. Dr. Pavol Quittner and published by Springer. This book was released on 2019-06-13 with total page 719 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. This class of problems contains, in particular, a number of reaction-diffusion systems which arise in various mathematical models, especially in chemistry, physics and biology. The first two chapters introduce to the field and enable the reader to get acquainted with the main ideas by studying simple model problems, respectively of elliptic and parabolic type. The subsequent three chapters are devoted to problems with more complex structure; namely, elliptic and parabolic systems, equations with gradient depending nonlinearities, and nonlocal equations. They include many developments which reflect several aspects of current research. Although the techniques introduced in the first two chapters provide efficient tools to attack some aspects of these problems, they often display new phenomena and specifically different behaviors, whose study requires new ideas. Many open problems are mentioned and commented. The book is self-contained and up-to-date, it has a high didactic quality. It is devoted to problems that are intensively studied but have not been treated so far in depth in the book literature. The intended audience includes graduate and postgraduate students and researchers working in the field of partial differential equations and applied mathematics. The first edition of this book has become one of the standard references in the field. This second edition provides a revised text and contains a number of updates reflecting significant recent advances that have appeared in this growing field since the first edition.

Download or read book Differential and Integral Equations written by and published by . This book was released on 2008 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Applications of Nonlinear Analysis written by Themistocles M. Rassias and published by Springer. This book was released on 2018-06-29 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt: New applications, research, and fundamental theories in nonlinear analysis are presented in this book. Each chapter provides a unique insight into a large domain of research focusing on functional equations, stability theory, approximation theory, inequalities, nonlinear functional analysis, and calculus of variations with applications to optimization theory. Topics include: Fixed point theory Fixed-circle theory Coupled fixed points Nonlinear duality in Banach spaces Jensen's integral inequality and applications Nonlinear differential equations Nonlinear integro-differential equations Quasiconvexity, Stability of a Cauchy-Jensen additive mapping Generalizations of metric spaces Hilbert-type integral inequality, Solitons Quadratic functional equations in fuzzy Banach spaces Asymptotic orbits in Hill’sproblem Time-domain electromagnetics Inertial Mann algorithms Mathematical modelling Robotics Graduate students and researchers will find this book helpful in comprehending current applications and developments in mathematical analysis. Research scientists and engineers studying essential modern methods and techniques to solve a variety of problems will find this book a valuable source filled with examples that illustrate concepts.

Download or read book A PROPOS D UNE EQUATION ELLIPTIQUE NON LINEAIRE AVEC UN EXPOSANT CRITIQUE written by Roger Lewandowski and published by . This book was released on 1990 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: CETTE THESE A POUR OBJET L'ETUDE D'UNE EQUATION ELLIPTIQUE NON LINEAIRE, SUR UN DOMAINE BORNE, DONT LA NON-LINEARITE A UNE CROISSANCE CRITIQUE, ENTRAINANT UN DEFAUT DE COMPACITE. DANS LA PREMIERE PARTIE, ON MONTRE QUE LORSQUE LE DOMAINE EST PERFORE, LES SOLUTIONS SE CONCENTRENT SUR LE CENTRE DU TROU LORSQUE SON RAYON DEVIENT TRES PETIT. ON ETABLIT ENSUITE UN RESULTAT DE NON EXISTENCE DE SOLUTIONS POUR UN DOMAINE NON ETOILE POSSEDANT UNE TOPOLOGIE TRIVIALE. DANS UNE DEUXIEME PARTIE, ON TIENT COMPTE D'UNE PERTURBATION LINEAIRE ET ON ETUDIE SYSTEMATIQUEMENT LES SOLUTIONS OBTENUES PAR MINIMISATION D'UNE FONCTIONNELLE ET MAXIMISATION D'UNE AUTRE. ON MONTRE QU'IL Y A UNICITE DES EXTREMA DANS LE CAS RADIAL; ON ETABLIT LA CORRESPONDANCE ENTRE LES MINIMA DE L'UNE ET LES MAXIMA DE L'AUTRE. FINALEMENT, ON ETUDIE LES MINIMA DEGENERES: EN IMPOSANT UNE CONDITION DE TRANSVERSALITE, ON DONNE LA DESCRIPTION COMPLETE D'UNE EVENTUELLE BIFURCATION, PHENOMENE POUVANT APPARAITRE LORSQUE LE DOMAINE EST UN ANNEAU

Download or read book Nonlinear Functional Analysis and Its Applications Part 1 written by Felix E. Browder and published by American Mathematical Soc.. This book was released on 1986 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Differential and Difference Equations with Applications written by Sandra Pinelas and published by Springer Science & Business Media. This book was released on 2013-09-21 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume contains carefully selected papers presented at the International Conference on Differential & Difference Equations and Applications held in Ponta Delgada – Azores, from July 4-8, 2011 in honor of Professor Ravi P. Agarwal. The objective of the gathering was to bring together researchers in the fields of differential & difference equations and to promote the exchange of ideas and research. The papers cover all areas of differential and difference equations with a special emphasis on applications.

Download or read book Flow Lines and Algebraic Invariants in Contact Form Geometry written by Abbas Bahri and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text features a careful treatment of flow lines and algebraic invariants in contact form geometry, a vast area of research connected to symplectic field theory, pseudo-holomorphic curves, and Gromov-Witten invariants (contact homology). In particular, it develops a novel algebraic tool in this field: rooted in the concept of critical points at infinity, the new algebraic invariants defined here are useful in the investigation of contact structures and Reeb vector fields. The book opens with a review of prior results and then proceeds through an examination of variational problems, non-Fredholm behavior, true and false critical points at infinity, and topological implications. An increasing convergence with regular and singular Yamabe-type problems is discussed, and the intersection between contact form and Riemannian geometry is emphasized. Rich in open problems and full, detailed proofs, this work lays the foundation for new avenues of study in contact form geometry and will benefit graduate students and researchers.

Download or read book Communications on Applied Nonlinear Analysis written by and published by . This book was released on 2006 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Ginzburg Landau Vortices written by Fabrice Bethuel and published by Birkhäuser. This book was released on 2017-09-21 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with the study in two dimensions of stationary solutions of uɛ of a complex valued Ginzburg-Landau equation involving a small parameter ɛ. Such problems are related to questions occurring in physics, e.g., phase transition phenomena in superconductors and superfluids. The parameter ɛ has a dimension of a length which is usually small. Thus, it is of great interest to study the asymptotics as ɛ tends to zero. One of the main results asserts that the limit u-star of minimizers uɛ exists. Moreover, u-star is smooth except at a finite number of points called defects or vortices in physics. The number of these defects is exactly the Brouwer degree – or winding number – of the boundary condition. Each singularity has degree one – or as physicists would say, vortices are quantized. The material presented in this book covers mostly original results by the authors. It assumes a moderate knowledge of nonlinear functional analysis, partial differential equations, and complex functions. This book is designed for researchers and graduate students alike, and can be used as a one-semester text. The present softcover reprint is designed to make this classic text available to a wider audience.

Download or read book A propos d une quation elliptique non lin aire avec un exposant critique written by Roger Lewandowski and published by . This book was released on 1990 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Reviews written by and published by . This book was released on 1998 with total page 1236 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Etude de quelques probl mes d quations aux d riv es partielles nonlin aires written by Ana Carpio and published by . This book was released on 1993 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: CETTE THESE EST DIVISEE EN TROIS CHAPITRES. DANS LE PREMIER ON DONNE UN RESULTAT DE NON EXISTENCE POUR UNE EQUATION ELLIPTIQUE NON LINEAIRE A L'EXPOSANT CRITIQUE. LE DEUXIEME EST CONSACRE A L'ETUDE D'EQUATIONS DES ONDES AVEC DISSIPATION NON LINEAIRE. ON MONTRE L'EXISTENCE DE SOLUTIONS GLOBALES RETROGRADES ET ON OBTIENT DES ESTIMATIONS OPTIMALES SUR LES CONSTANTES DEPENDANTES DE L'ENERGIE INITIALE APPARAISSANT DANS LES ESTIMATIONS SUR LA DECROISSANCE DE L'ENERGIE. DANS LE TROISIEME CHAPITRE ON ETUDIE LE COMPORTEMENT ASYMPTOTIQUE DES SOLUTIONS DES EQUATIONS DU TOURBILLON EN DIMENSIONS DEUX ET TROIS LORSQUE LE TEMPS TEND VERS L'INFINI. POUR CERTAINES CLASSES DE DONNEES ON MONTRE QUE LES SOLUTIONS SE RAPPROCHENT DE SOLUTIONS AUTOSEMBLABLES DES EQUATIONS DU TOURBILLON CONVENABLEMENT CHOISIES.

Download or read book Rendiconti dell Istituto di matematica dell Universit di Trieste written by Università degli studi di Trieste. Istituto di matematica and published by . This book was released on 1985 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: