Linking solutions for p-Laplace equations with nonlinearity at critical growth

被引：63

作者：

Degiovanni, Marco ^{[1
]}

Lancelotti, Sergio ^{[2
]}

机构：

[1] Univ Cattolica Sacro Cuore, Dipartimento Matemat & Fis, I-25121 Brescia, Italy

[2] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2009年 / 256卷 / 11期

关键词：

p-Laplace equations; Critical growth; Nontrivial solutions; Linking structures; CRITICAL SOBOLEV EXPONENTS; QUASILINEAR ELLIPTIC-EQUATIONS; NONTRIVIAL SOLUTIONS; BIFURCATION; REGULARITY; EXISTENCE; INDEX;

D O I：

10.1016/j.jfa.2009.01.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Under a suitable condition on n and p, the quasilinear equation at critical growth -Delta(p)u = lambda vertical bar u vertical bar(p-2)u + vertical bar u vertical bar(p*-2)u is shown to admit a nontrivial weak solution u is an element of W(0)(I,p) (Omega) for any lambda >= lambda(1) Nonstandard linking structures, for the associated functional, are recognized. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：3643 / 3659

页数：17

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