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.
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页码：1107 / 1123
页数：17
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