EXISTENCE AND BIFURCATION RESULTS FOR FOURTH-ORDER ELLIPTIC EQUATIONS INVOLVING TWO CRITICAL SOBOLEV EXPONENTS

被引：0

作者：

Kandilakis, D. A. ^{[1
]}

Magiropoulos, M. ^{[2
]}

Zographopoulos, N. ^{[1
]}

机构：

[1] Tech Univ Crete, Dept Sci, Khania 73100, Greece

[2] Technol & Educ Inst Crete, Dept Sci, Iraklion 71500, Greece

来源：

GLASGOW MATHEMATICAL JOURNAL | 2009年 / 51卷

关键词：

D O I：

10.1017/S0017089508004588

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Omega be a smooth bounded domain in R-N, with N >= 5. We provide existence and bifurcation results for the elliptic fourth-order equation Delta(2)u - Delta(p)u = f(lambda, x, u) in Omega, under the Dirichlet boundary conditions u = 0 and del u = 0. Here lambda is a positive real number, 1 < p <= 2# and f(., ., u) has a subcritical or a critical growth s, 1 < s <= 2*, where 2* := 2N/N-4 and 2# := 2N/N-2. Our approach is variational, and it is based on the mountain-pass theorem, the Ekeland variational principle and the concentration-compactness principle.

引用

页码：127 / 141

页数：15

共 16 条

[1] POSITIVE SOLUTIONS OF NON-LINEAR ELLIPTIC-EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENTS [J].