A minimum problem with free boundary in Orlicz spaces

DOI10.1016/j.aim.2008.03.028zbMath1170.35030arXivmath/0602388OpenAlexW1991289423MaRDI QIDQ936539

Noemí I. Wolanski, Sandra R. Martinez

Publication date: 14 August 2008

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602388

zbMATH Keywords

maximum principle representation theorem Hölder and Lipschitz continuity positivity of the minimizers

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Smoothness and regularity of solutions to PDEs (35B65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20)

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