Limits of anisotropic and degenerate elliptic problems

Agnese Di Castro; Mayte Pérez-Llanos; José Miguel Urbano

doi:10.3934/cpaa.2012.11.1217

Limits of anisotropic and degenerate elliptic problems

Agnese Di Castro, Mayte Pérez-Llanos, José Miguel Urbano

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

This paper analyzes the behavior of solutions for anisotropic problems of (pi)-Laplacian type as the exponents go to infinity. We show that solutions converge uniformly to a function that solves, in the viscosity sense, a certain problem that we identify. The results are presented in a two-dimensional setting but can be extended to any dimension.

Original language	English (US)
Pages (from-to)	1217-1229
Number of pages	13
Journal	Communications on Pure and Applied Analysis
Volume	11
Issue number	3
DOIs	https://doi.org/10.3934/cpaa.2012.11.1217
State	Published - May 1 2012
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.3934/cpaa.2012.11.1217

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AU - Pérez-Llanos, Mayte

AU - Urbano, José Miguel

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AB - This paper analyzes the behavior of solutions for anisotropic problems of (pi)-Laplacian type as the exponents go to infinity. We show that solutions converge uniformly to a function that solves, in the viscosity sense, a certain problem that we identify. The results are presented in a two-dimensional setting but can be extended to any dimension.

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DO - 10.3934/cpaa.2012.11.1217

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JO - Communications on Pure and Applied Analysis

JF - Communications on Pure and Applied Analysis

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ER -

Limits of anisotropic and degenerate elliptic problems

Abstract

ASJC Scopus subject areas

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