On the minimal solutions of variational inequalities in Orlicz-Sobolev spaces
DOI10.1007/s11401-021-0262-9zbMath1487.47089OpenAlexW3173034707MaRDI QIDQ2047238
Publication date: 19 August 2021
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11401-021-0262-9
elliptic variational inequalitiesunbounded domainsOrlicz-Sobolev spacesminimal nonnegative solutionsbounded domainscoercive operators
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)
Cites Work
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- Variational inequalities with multivalued lower order terms and convex functionals in Orlicz-Sobolev spaces
- Differential equations of divergence form in Musielak-Sobolev spaces and a sub-supersolution method
- An existence theorem for weak solutions for a class of elliptic partial differential systems in general Orlicz-Sobolev spaces
- Existence and uniqueness of solutions of unilateral problems in Orlicz spaces
- On Galerkin's method in the existence theory of quasilinear elliptic equations
- On principal eigenvalues for quasilinear elliptic differential operators: an Orlicz-Sobolev space setting
- Traveling wave solutions for some discrete quasilinear parabolic equations
- The sub-supersolution method and extremal solutions of quasilinear elliptic equations in Orlicz-Sobolev spaces
- Existence of solutions for elliptic equations having natural growth terms in Orlicz spaces
- On the minimal solution for some variational inequalities
- An existence theorem for weak solutions for a class of elliptic partial differential systems in Orlicz spaces
- Nonlinear elliptic boundary value problems in Orlicz-Sobolev spaces
- Nonlinear mappings of monotone type in Banach spaces
- Generalized Orlicz spaces and related PDE
- On variational and quasi-variational inequalities with multivalued lower order terms and convex functionals
- On the two obstacles problem in Orlicz–Sobolev spaces and applications
- Variational inequalities in Orlicz-Sobolev spaces
- Nonlinear Elliptic Equations with Right Hand Side Measures
- An existence theorem for a strongly nonlinear elliptic problem in Orlicz spaces
- Positive solutions to nonlinear inclusion problems in Orlicz–Sobolev spaces
- Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients
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