EXISTENCE OF WEAK SOLUTIONS FOR A NONUNIFORMLY ELLIPTIC NONLINEAR SYSTEM IN RN

被引：0

作者：

Nguyen Thanh Chung ^{[1
]}

机构：

[1] Quang Binh Univ, Dept Math & Informat, Dong Hoi, Vietnam

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年

关键词：

Nonuniformly elliptic; nonlinear systems; mountain pass theorem; weakly continuously differentiable functional;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the nonuniformly elliptic, nonlinear system - div(h(1)(x)del u) + a(x)u = f(x, u, v) in R-N, - div(h(2)(x)del v) + b(x)v = g(x, u, v) in R-N. Under growth and regularity conditions on the nonlinearities f and g, we obtain weak solutions in a subspace of the Sobolev space H-1(R-N, R-2) by applying a variant of the Mountain Pass Theorem.

引用

页数：10

共 17 条

[1]

Abakhti-Mchachti A., 1992, PITMAN RES NOTES MAT, V266, P92

[2]

Adams R., 1975, Sobolev Spaces

[3]

Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7

[4]

Ambrosetti A., 1997, P 2 SCH ICTP TRIEST

[5]

[Anonymous], 1992, THEORIE APPL

[6]

Berestycki H., 1984, ARCH RATION MECH AN, V82, P313

[7]

Costa D. G., 1994, ELECT J DIFFERENTIAL, P1

[8] Mountain pass solutions to equations of p-Laplacian type [J].

De Nápoli, P ;

Mariani, MC .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 54 (07) :1205-1219

[9] Nonuniformly elliptic equations of p-Laplacian type [J].

Duc, DM ;

Vu, NT .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 61 (08) :1483-1495

[10]

DUC DM, 1989, J LOND MATH SOC, V40, P420

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