WEAK SOLUTIONS FOR DEGENERATE SEMILINEAR ELLIPTIC BVPS IN UNBOUNDED DOMAINS

被引：0

作者：

Kar, Rasmita ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年

关键词：

Semilinear elliptic boundary value problem; unbounded domain; pseudomonotone operator; BOUNDARY-VALUE-PROBLEMS; PSEUDO-MONOTONE OPERATORS; POSITIVE SOLUTIONS; EQUATIONS; EXISTENCE; THEOREMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we prove the existence of a weak solution for the degenerate semilinear elliptic Dirichlet boundary-value problem Lu(x) + Sigma(n)(i=1)g(x)h(u(x))D(i)u(x) = f(x) in Omega, u=0 on partial derivative Omega, in a suitable weighted Sobolev space. Here Omega subset of R-n, 1 <= n <= 3, is not necessarily bounded.

引用

页数：11

共 27 条

[1]

Benci Vieri, 1979, Ann. Mat. Pura Appl., V121, P319

[2]

BERESTYCKI H, 1983, ARCH RATION MECH AN, V82, P313

[3]

BERESTYCKI H, 1983, ARCH RATIONAL MECH A, V82, P346

[4] EMBEDDING THEOREMS AND QUASILINEAR ELLIPTIC BOUNDARY-VALUE PROBLEMS FOR UNBOUNDED DOMAINS [J].

BERGER, MS ;

SCHECHTE.M .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 172 (NOCT) :261-278

[5] EXISTENCE AND BIFURCATION THEOREMS FOR NON-LINEAR ELLIPTIC EIGENVALUE PROBLEMS ON UNBOUNDED-DOMAINS [J].

BONGERS, A ;

HEINZ, HP ;

KUPPER, T .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1983, 47 (03) :327-357

[6] NON-LINEAR EQUATIONS AND INEQUATIONS IN DUAL VECTORIAL SPACES [J].

BREZIS, H .

ANNALES DE L INSTITUT FOURIER, 1968, 18 (01) :115-&

[7] PSEUDO-MONOTONE OPERATORS AND NONLINEAR ELLIPTIC BOUNDARY-VALUE PROBLEMS ON UNBOUNDED DOMAINS [J].

BROWDER, FE .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1977, 74 (07) :2659-2661

[8] NON-LINEAR ELLIPTIC BOUNDARY-VALUE-PROBLEMS FOR UNBOUNDED-DOMAINS [J].

CAC, NP .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1982, 45 (02) :191-198

[9] An approximation theorem for solutions of degenerate elliptic equations [J].

Cavalheiro, AC .

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2002, 45 :363-389

[10]

Chanillo S., 1985, AM J MATH, V107, P1119

← 1 2 3 →