ON MINIMIZATION OF A NON-CONVEX FUNCTIONAL IN VARIABLE EXPONENT SPACES

DOI10.1142/S0129167X14500116zbMath1287.49004OpenAlexW2007952061MaRDI QIDQ5409859

Humberto Rafeiro, Renato Colucci, Andrés F. Vargas, Gerardo R. Chacón

Publication date: 15 April 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x14500116

zbMATH Keywords

direct methodvariable Lebesgue spacesvariable exponent functionalvariable Sobolev spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Energy minimization in equilibrium problems in solid mechanics (74G65) Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for second-order elliptic equations (35J20)

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