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.

Density estimates for a degenerate/singular phase-transition model / A. Petrosyan, E. Valdinoci. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - 36:4(2005), pp. 1057-1079.

Density estimates for a degenerate/singular phase-transition model

E. Valdinoci
2005

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.
density estimates; p-Laplacian equation; phase-transition models; Ginzburg-Landau models; uniform convergence of level sets; plane-like minimizers
Settore MAT/05 - Analisi Matematica
2005
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/472875
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