Stability of eigenvalues for variable exponent problems

被引：7

作者：

Colasuonno, Francesca ^{[1
]}

Squassina, Marco ^{[2
]}

机构：

[1] CNR, Ist Applicaz Calcolo M Picone, I-00185 Rome, Italy

[2] Univ Verona, Dipartimento Informat, I-37134 Verona, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2015年 / 123-124卷

关键词：

Quasilinear eigenvalue problems; Variable exponents; Gamma-convergence; ASYMPTOTIC-BEHAVIOR; P-LAPLACIAN; CONTINUITY; FUNCTIONALS; BIFURCATION; REGULARITY; GRADIENT; RESPECT;

D O I：

10.1016/j.na.2015.03.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the framework of variable exponent Sobolev spaces, we prove that the variational eigenvalues defined by inf sup procedures of Rayleigh ratios for the Luxemburg norms are all stable under uniform convergence of the exponents. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：56 / 67

页数：12

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