Density estimates for a degenerate/singular phase-transition model

Arshak Petrosyan; Enrico Valdinoci

doi:10.1137/S0036141003437678

Density estimates for a degenerate/singular phase-transition model

Arshak Petrosyan, Enrico Valdinoci

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

21 Citations (Scopus)

Abstract

We consider a Ginzburg-Landau type phase-transition model driven by a p-Laplacian type equation. We prove density estimates for absolute minimizers and we deduce the uniform convergence of level sets and the existence of plane-like minimizers in periodic media.

Original language	English
Pages (from-to)	1057-1079
Number of pages	23
Journal	SIAM Journal on Mathematical Analysis
Volume	36
Issue number	4
DOIs	https://doi.org/10.1137/S0036141003437678
Publication status	Published - 1 Aug 2005
Externally published	Yes

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title = "Density estimates for a degenerate/singular phase-transition model",

abstract = "We consider a Ginzburg-Landau type phase-transition model driven by a p-Laplacian type equation. We prove density estimates for absolute minimizers and we deduce the uniform convergence of level sets and the existence of plane-like minimizers in periodic media.",

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AU - Valdinoci, Enrico

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AB - We consider a Ginzburg-Landau type phase-transition model driven by a p-Laplacian type equation. We prove density estimates for absolute minimizers and we deduce the uniform convergence of level sets and the existence of plane-like minimizers in periodic media.

KW - Density estimates

KW - Ginzburg-Landau models

KW - P-Laplacian equation

KW - Phase-transition models

KW - Plane-like minimizers

KW - Uniform convergence of level sets

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Density estimates for a degenerate/singular phase-transition model

Abstract

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