Some applications of a perturbative method to elliptic equations with non-homogeneous boundary conditions

被引：7

作者：

Candela, AM ^{[1
]}

Salvatore, A ^{[1
]}

机构：

[1] Univ Bari, Dipartimento Interuniv Matemat, I-70125 Bari, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 53卷 / 3-4期

关键词：

nonlinear elliptic equations; non-homogeneous boundary data; critical point theory; perturbative methods;

D O I：

10.1016/S0362-546X(01)00892-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some applications of a perturbative method to elliptic equations with non-homogeneous boundary conditions were discussed. It was found that if was nontrivial the symmetry was broken but perturbative methods gave the existence of infinitely many solutions. A multiplicity result holded for any subcritical p if f was small enough.

引用

页码：299 / 317

页数：19

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