๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Existence and multiplicity of solutions for asymptotically linear, noncoercive elliptic equations

โœ Scribed by Dumitru Motreanu; Viorica V. Motreanu; Nikolaos S. Papageorgiou

Publisher
Springer Vienna
Year
2009
Tongue
English
Weight
282 KB
Volume
159
Category
Article
ISSN
0026-9255

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Existence and Multiplicity of Solutions
Existence and Multiplicity of Solutions of Semilinear Elliptic Equations
โœ Chun-Lei Tang; Xing-Ping Wu ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 87 KB

The existence and multiplicity results of solutions are obtained by the reduction method and the minimax methods for nonautonomous semilinear elliptic Dirichlet boundary value problem. Some well-known results are generalized. แฎŠ 2001 Aca- demic Press

Existence of multiple weak solutions for
Existence of multiple weak solutions for asymptotically linear wave equations
โœ Mieko Tanaka ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 260 KB

We consider the problem of multiple existence of 2 -periodic weak solutions to wave equations u(x, t)= h(x, t, u(x, t))+f (x, t) of space dimension 1, where h(x, t, ) is asymptotically linear in both as โ†’ 0 and as | | โ†’ โˆž. It is shown by variational methods that there exist at least three solutions

Multiple Solutions for Asymptotically Li
Multiple Solutions for Asymptotically Linear Elliptic Systems
โœ Wenming Zou ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 148 KB

In this article, we consider cooperative and noncooperative elliptic systems that are asymptotically linear at infinity. We obtain infinitely many solutions with small energy if the potential is even. If the noncooperative system is resonant both at zero and at infinity, then the number of nontrivia