NONLINEAR NONCOERCIVE NEUMANN PROBLEMS

被引：3

作者：

Gasinski, Leszek ^{[1
]}

Klimczak, Liliana ^{[1
]}

Papageorgiou, Nikolaos S. ^{[2
]}

机构：

[1] Jagiellonian Univ, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland

[2] Natl Tech Univ Athens, Dept Math, Zografou Campus, Athens 15780, Greece

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2016年 / 15卷 / 04期

关键词：

Nonhomogeneous differential operator; nonlinear regularity; critical groups; POSITIVE SOLUTIONS; DIRICHLET PROBLEMS; MULTIPLE SOLUTIONS; Q)-EQUATIONS; EXISTENCE; CONCAVE; PAIR; (P;

D O I：

10.3934/cpaa.2016.15.1107

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider nonlinear, nonhomogeneous and noncoercive Neumann problems with a Caratheodory reaction which is either (p-1)-superlinear near +/-infinity (without satisfying the usual in such cases Ambrosetti-Rabinowitz condition) or (p-1)-sublinear near +/-infinity. Using variational methods and Morse theory (critical groups) we prove two existence theorems.

引用

页码：1107 / 1123

页数：17

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