Nonlinear Neumann problems driven by a nonhomogeneous differential operator

被引：0

作者：

Bisci, Giovanni Molica ^{[1
]}

Repovs, Dusan ^{[2
,3
]}

机构：

[1] Univ Reggio Calabria, Dipartimento PAU, I-89124 Reggio Di Calabria, Italy

[2] Univ Ljubljana, Fac Educ, Ljubljana 1001, Slovenia

[3] Univ Ljubljana, Fac Math & Phys, Ljubljana 1001, Slovenia

来源：

BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE | 2014年 / 57卷 / 01期

关键词：

Three weak solutions; Variational methods; Divergence type equations; MOUNTAIN PASS SOLUTIONS; ELLIPTIC-EQUATIONS; VARIATIONAL-INEQUALITIES; MULTIPLICITY; EXISTENCE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a nonlinear parametric Neumann problem driven by a nonhomogeneous quasilinear elliptic differential operator div(a(x, del u)), a special case of which is the p-Laplacian. The reaction term is a nonlinearity function f which exhibits (p-1)-subcritical growth. By using variational methods, we prove a multiplicity result on the existence of weak solutions for such problems. An explicit example of an application is also presented.

引用

页码：13 / 25

页数：13

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