Bifurcation from the first eigenvalue of some nonlinear elliptic operators in Banach spaces

被引：3

作者：

Drábek, P

Stavrakakis, NM

机构：

[1] Univ W Bohemia, Dept Math, Pilsen 30614, Czech Republic

[2] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2000年 / 42卷 / 04期

关键词：

nonlinear operators; bifurcation theory; degree theory; quasilinear elliptic equations; homogeneous Sobolev spaces; unbounded domains; perturbations;

D O I：

10.1016/S0362-546X(99)00114-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An abstract operator equation, Au = λBu, was considered where λ∈R is a spectral parameter and A,B are operators acting from a certain Banach space into its dual. As an example, weak solvability of the nonlinear eigenvalue problem in RN is provided: -div a(x,u, ▽u)+c(x,u,▽u) = λb(x,u)+g(λ,x,u), where the assumptions on a, b, c and g are specified.

引用

页码：561 / 572

页数：12

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