Elliptic equations, multivalued \(x\)-dependent graphs and Orlicz spaces

DOI10.1016/j.na.2010.06.046zbMath1197.35337OpenAlexW1979628764MaRDI QIDQ988155

Grzegorz Jamróz

Publication date: 26 August 2010

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.2010.06.046

zbMATH Keywords

convolutionYoung measuresOrlicz spaceelliptic equationmultivalued graph

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Boundary value problems for second-order elliptic equations (35J25) Theoretical approximation in context of PDEs (35A35) Weak solutions to PDEs (35D30) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Cites Work

• G-convergence of monotone operators
• Steady flow of non-Newtonian fluids - monotonicity methods in generalized Orlicz spaces
• Monotone (nonlinear) operators in Hilbert space
• Vector valued Orlicz spaces. Generalized N-functions, I
• Vector valued Orlicz spaces, II
• Nonlinear elliptic boundary value problems in Orlicz-Sobolev spaces
• On elliptic and parabolic systems withx-dependent multivalued graphs
• On monotone-like mappings in Orlicz-Sobolev spaces
• Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients
• Set-valued analysis
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