Existence and uniqueness of solutions of nonlinear elliptic equations without growth conditions at infinity

被引：3

作者：

Alarcon, Salomon ^{[1
]}

Garcia-Melian, Jorge ^{[2
,3
]}

Quaas, Alexander ^{[1
]}

机构：

[1] Univ Tecn Federico Santa Maria, Dept Matemat, Valparaiso 1680, Chile

[2] Univ La Laguna, Dept Anal Matemat, San Cristobal la Laguna 38271, Spain

[3] Univ La Laguna, Fac Fis, Inst Univ Estudios Avanzados IUdEA Fis Atom Mol &, San Cristobal la Laguna 38203, Spain

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 2012年 / 118卷

关键词：

PARABOLIC EQUATIONS; RESTRICTIONS;

D O I：

10.1007/s11854-012-0030-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the nonlinear elliptic problem -Delta u+vertical bar u vertical bar(p-1)u+vertical bar del u vertical bar(q)=f in R-N , where p > 1 and q > 0. We show that if f is an element of L-loc(r) (R-N ) for suitable r >= 1, then there exists a distributional solution of the equation, independently of the behavior of f at infinity. We also analyze the uniqueness of this solution in some cases.

引用

页码：83 / 104

页数：22

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