Variational inequalities in Orlicz-Sobolev spaces

DOI10.1016/0362-546X(87)90053-8zbMath0643.49006MaRDI QIDQ3785476

Vesa Mustonen, Jean Pierre Gossez

Publication date: 1987

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

existence of solutionselliptic boundary value problempolynomial growth conditionSobolev-Orlicz spacesstrongly nonlinear problemoperator of monotone typevariational inequalities associated to elliptic differential operators

Mathematics Subject Classification ID

Variational inequalities (49J40) Monotone operators and generalizations (47H05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)

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Cites Work

• Strongly nonlinear unilateral problems
• On Galerkin's method in the existence theory of quasilinear elliptic equations
• Pseudo-monotone mappings in Sobolev-Orlicz spaces and nonlinear boundary value problems on unbounded domains
• Surjectivity results for pseudo-monotone mappings in complementary systems
• On a class of strongly nonlinear elliptic variational inequalities
• Some properties of higher order Sobolev spaces
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• Asymptotic fixed point theorems
• Orlicz-Sobolev spaces and imbedding theorems
• Nonlinear elliptic boundary value problems in Orlicz-Sobolev spaces
• Nonlinear mappings of monotone type in Banach spaces
• A strongly nonlinear elliptic boundary value problem
• A remark on strongly nonlinear elliptic boundary value problems
• Boundary Value Problems for Strongly Nonlinear Elliptic Equations
• Some approximation properties in Orlicz-Sobolev spaces
• Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients
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