Nonlinear Partial Differential Equations

✍ Scribed by Benkirane A., Gossez J.-P. (eds.)

• Publisher: Addison Wesley Longman;Chapman and Hall/CRC;Longman
• Year: 1996
• Tongue: English
• Leaves: 217
• Series: Chapman & Hall/CRC Research Notes in Mathematics Series
• Edition: 1
• Category: Library

✦ Synopsis

This book presents a collection of selected contributions on recent results in nonlinear partial differential equations from participants to an international conference held in Fes, Morocco in 1994. The emphasis is on nonlinear elliptic boundary value problems, but there are also papers deveoted to related areas such as monotone operator theory, calculus of variations, Hamiltonian systems and periodic solutions. Some of the papers are exhaustive surveys, while others contain new results,published here for the first time. This book will be of particular interest to graduate or postgraduate students as well as to specialists in these areas

✦ Table of Contents

Content: On the second eigenvalue of the p-Laplacian A theorem of H. Brezis and F.E. Browder type on Orlicz spaces and application A result of maximum point localization for a semi-linear ellipticv pde Existence results for semilinear equations with normal linear part and applications to telegraph equations The role of truncates in nonlinear Dirichlet problems in L1 Periodic solutions of second ordinary differential equations with a discontinuous nonlinearity The range of sums of monotone operators and applications to Hammerstein inclusions and nonlinear complementarity problems A priori estimates for positive solutions of semilinear elliptic systems via Hardy-Sobolev inequalities On the minimisation of non quasiconvex integrals of the calculus of variations Local solvability for complex quasi-linear equations Strong nonlinear degenerated and singular elliptic problems Some results about periodic solutions of second order Hamiltonian systems where the potential has indefinite sign A note on nonresonance between consecutive eigenvalues for a semilinear elliptic problem Cylindrical TE and TM modes in a self-focusing dielectric Entropy solutions and the uniqueness problem for nonlinear second-order elliptic equations.

✦ Subjects

nonlinear analysis;nonlinear partial differential equations