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.
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页码：209 / 238
页数：30
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