Continuous solutions for a degenerate free boundary problem

José Miguel Urbano

doi:10.1007/BF02505895

Continuous solutions for a degenerate free boundary problem

José Miguel Urbano

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

16 Scopus citations

Abstract

We prove existence of continuous solutions for ∂,[y(θ)]-div(|∇θ|p-2∇θ)0, P>2, where y is a maximal monotone graph, by showing equicontinuity of a sequence of approximate solutions. Relations of this type are models for certain free boundary problems like the Stefan problem urith nonlinear diffusion.

Original language	English (US)
Pages (from-to)	195-224
Number of pages	30
Journal	Annali di Matematica Pura ed Applicata
Volume	178
Issue number	1
DOIs	https://doi.org/10.1007/BF02505895
State	Published - Jan 1 2000
Externally published	Yes

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Generated from Scopus record by KAUST IRTS on 2023-02-15

ASJC Scopus subject areas

Applied Mathematics

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10.1007/BF02505895

Cite this

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AB - We prove existence of continuous solutions for ∂,[y(θ)]-div(|∇θ|p-2∇θ)0, P>2, where y is a maximal monotone graph, by showing equicontinuity of a sequence of approximate solutions. Relations of this type are models for certain free boundary problems like the Stefan problem urith nonlinear diffusion.

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ER -

Continuous solutions for a degenerate free boundary problem

Abstract

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