On the well-posedness of a two-phase minimization problem

DOI10.1016/j.jmaa.2011.01.017zbMath1211.35126OpenAlexW2087059278MaRDI QIDQ631845

José Miguel Urbano, Dmitry A. Vorotnikov

Publication date: 14 March 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10316/13715

zbMATH Keywords

viscosity solutionsinfinity Laplaciangeometric properties of Sobolev functions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20)

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Cites Work

• \(p(x)\)-harmonic functions with unbounded exponent in a subdomain
• On Lavrentiev's phenomenon
• Regularity results for stationary electro-rheological fluids
• Tug-of-war and the infinity Laplacian
• Extension of range of functions
• A tour of the theory of absolutely minimizing functions
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