Anisotropic elliptic problems involving Hardy-type potentials

被引：19

作者：

Della Pietra, Francesco ^{[1
]}

Gavitone, Nunzia ^{[2
]}

机构：

[1] Univ Molise, Dipartimento SAVA, Fac Ingn, I-86039 Termoli, CB, Italy

[2] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 397卷 / 02期

关键词：

Elliptic boundary value problems; Hardy inequalities; Anisotropic Laplacian; Convex symmetrization; PARABOLIC EQUATIONS; UNIQUENESS PROOF; WULFF THEOREM; SYMMETRIZATION; INEQUALITIES; CONVERGENCE; QUESTIONS; EXISTENCE;

D O I：

10.1016/j.jmaa.2012.08.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give existence, uniqueness and regularity of the solutions of problems whose prototype is {-Delta(H)u = lambda/H-o(x)(2)u + f(x) in Omega, u = 0 on partial derivative Omega, where Omega is a bounded open set of R-N, N > 2, and 0 is an element of Omega. Here H is a norm on R-N, H-o is its polar and Delta(H)u = div (H(Du)H-xi(Du)) is the anisotropic Laplacian. (c) 2012 Elsevier Inc. All rights reserved.

引用

页码：800 / 813

页数：14

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