An existence theorem for weak solutions for a class of elliptic partial differential systems in Orlicz spaces

DOI10.1016/j.na.2006.12.004zbMath1260.35049OpenAlexW2025769126MaRDI QIDQ2470095

Ge Dong, Zhong-Rui Shi

Publication date: 13 February 2008

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.2006.12.004

zbMATH Keywords

Dirichlet problemweak solutionsOrlicz spaceselliptic partial differential system

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Weak solutions to PDEs (35D30)

Related Items

Differential equations of divergence form in separable Musielak-Orlicz-Sobolev spaces ⋮ Quasilinear elliptic systems with nonlinear physical data ⋮ The sub-supersolution method and extremal solutions of quasilinear elliptic equations in Orlicz-Sobolev spaces ⋮ Gradient estimates for higher order elliptic equations on nonsmooth domains ⋮ Wolff potentials and measure data vectorial problems with Orlicz growth ⋮ Quasilinear elliptic systems with nonstandard growth conditions in Orlicz-Sobolev spaces ⋮ Quasilinear elliptic systems with right-hand side in divergence form ⋮ Variational inequalities with multivalued lower order terms and convex functionals in Orlicz-Sobolev spaces ⋮ Barrier solutions of elliptic differential equations in Musielak-Orlicz-Sobolev spaces ⋮ Existence results for some nonlinear elliptic equations with measure data in Orlicz-Sobolev spaces ⋮ On the minimal solutions of variational inequalities in Orlicz-Sobolev spaces ⋮ Positive solutions to nonlinear inclusion problems in Orlicz–Sobolev spaces

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