Nonlinear elliptic problems with superlinear reaction and parametric concave boundary condition

被引：7

作者：

Papageorgiou, Nikolaos S. ^{[1
]}

Radulescu, Vicentiu D. ^{[2
,3
]}

机构：

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

[2] Romanian Acad, Inst Math Simion Stoilow, POB 1-764, Bucharest 014700, Romania

[3] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2016年 / 212卷 / 02期

关键词：

EXISTENCE; SIGN; MULTIPLICITY;

D O I：

10.1007/s11856-016-1309-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study parametric nonlinear elliptic boundary value problems driven by the p-Laplacian with convex and concave terms. The convex term appears in the reaction and the concave in the boundary condition (source). We study the existence and nonexistence of positive solutions as the parameter lambda > 0 varies. For the semilinear problem (p = 2), we prove a bifurcation type result. Finally, we show the existence of nodal (sign changing) solutions.

引用

页码：791 / 824

页数：34

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