Nonlinear Dirichlet Problems with no Growth Restriction on the Reaction

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：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2017年 / 36卷 / 02期

关键词：

Nonlinear regularity; nonlinear maximum principle; constant sign and nodal solutions; (p; 2)-equation; critical groups; POSITIVE SOLUTIONS; ELLIPTIC-EQUATIONS; MULTIPLE SOLUTIONS; (P; Q)-EQUATIONS; EXISTENCE; SIGN;

D O I：

10.4171/ZAA/1586

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider nonlinear Dirichlet problems driven by the sum of a p-Laplacian and a Laplacian and with a Caratheodory reaction which does not satisfy any global growth condition. Instead we assume that it has constant sign z-dependent zeros. Using variational methods, truncation techniques and Morse theory, we prove multiplicity theorems providing sign information for all the solutions.

引用

页码：209 / 238

页数：30

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