Elliptic problems with nonlinearities indefinite in sign

被引：142

作者：

Alama, S ^{[1
]}

Tarantello, G ^{[1
]}

机构：

[1] UNIV ROMA TOR VERGATA,DIPARTIMENTO MATEMAT,I-00133 ROME,ITALY

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1996年 / 141卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1006/jfan.1996.0125

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Omega subset of R(N), N greater than or equal to 3, be a bounded open set with smooth boundary and lambda is an element of R. We study the Dirichlet problem, [GRAPHICS] with 1<q<p and h, k is an element of L(infinity)(Omega) nonnegative functions. We prove existence, non-existence and multiplicity results depending on lambda and according to the integrability properties of the ratio k(p-1)/h(q-1). (C) 1996 Academic Press, Inc.

引用

页码：159 / 215

页数：57

共 16 条

[11]

Gilbarg D., 1983, ELLIPTIC PARTIAL DIF, V224

[12]

Hardy G.H., 1952, INEQUALITIES

[13]

OUYANG T, 1992, INDIANA U MATH J, V40, P1083

[14] ON THE POSITIVE SOLUTIONS OF SEMILINEAR EQUATIONS DELTA-U+LAMBDA-U-HUP=0 ON THE COMPACT MANIFOLDS [J].

OUYANG, TC .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 331 (02) :503-527

[15]

Reed M., 1975, Methods of modern mathematical physics. II. Fourier analysis, self-adjointness

[16]

Struwe M., 1990, Variational methods: applications to nonlinear partial differential equations and Hamiltonian systems, DOI DOI 10.1007/978-3-662-02624-3

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