Generalized Orlicz spaces and related PDE

DOI10.1016/j.na.2016.05.002zbMath1360.46029OpenAlexW2414987120MaRDI QIDQ2629924

Peter A. Hästö, Petteri Harjulehto, Riku Klén

Publication date: 8 July 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2016.05.002

zbMATH Keywords

Sobolev spacenonstandard growthOrlicz spacePoincaré inequalityexistence of solutionvariable exponentMusielak-Orlicz spacesDirichlet energy integral

Mathematics Subject Classification ID

Variational inequalities (49J40) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60)

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