Existence and uniqueness of entropy solution of a nonlinear elliptic equation in anisotropic Sobolev-Orlicz space

DOI10.1007/s12215-020-00577-4zbMath1479.35418OpenAlexW3104883869MaRDI QIDQ2243667

Omar Benslimane, Ahmed Aberqi, Jaouad Bennouna

Publication date: 11 November 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-020-00577-4

zbMATH Keywords

entropy solutionexistence and uniquenessanisotropic elliptic equationSobolev-Orlicz anisotropic spaces

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (11)

Existence results for double phase problem in Sobolev-Orlicz spaces with variable exponents in complete manifold ⋮ On a new fractional Sobolev space with variable exponent on complete manifolds ⋮ Multiplicity of solutions for an anisotropic variable exponent problem ⋮ Multiple solutions for a system involving an anisotropic variable exponent operator ⋮ Study of some nonlinear elliptic equation with non-polynomial anisotropic growth ⋮ Identification of discontinuous parameters in double phase obstacle problems ⋮ Weak solvability of nonlinear elliptic equations involving variable exponents ⋮ Singular two-phase problem on a complete manifold: analysis and insights ⋮ Theorem of Brezis and Browder type in anisotropic Sobolev spaces ⋮ Existence results for double phase obstacle problems with variable exponents ⋮ On a class of double phase problem involving potentials terms

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