Differential and Integral Equations

An optimization problem with free boundary governed by a degenerate quasilinear operator

Krerley Oliveira and Eduardo V. Teixeira

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Abstract

In this paper we study the existence, regularity and geometric properties of an optimal configuration to a free boundary optimization problem governed by the $p$-Laplacian operator.

Article information

Source
Differential Integral Equations, Volume 19, Number 9 (2006), 1061-1080.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356050333

Mathematical Reviews number (MathSciNet)
MR2262097

Zentralblatt MATH identifier
1212.35515

Subjects
Primary: 35R35: Free boundary problems
Secondary: 35J60: Nonlinear elliptic equations 35J70: Degenerate elliptic equations 49J20: Optimal control problems involving partial differential equations 49N60: Regularity of solutions

Citation

Oliveira, Krerley; Teixeira, Eduardo V. An optimization problem with free boundary governed by a degenerate quasilinear operator. Differential Integral Equations 19 (2006), no. 9, 1061--1080. https://projecteuclid.org/euclid.die/1356050333


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