Existence of renormalized solutions for some nonlinear elliptic equations in Orlicz spaces

DOI10.1007/s12215-019-00399-zzbMath1437.35281OpenAlexW2908590239MaRDI QIDQ2174829

M. Bourahma, Abdelmoujib Benkirane, Jaouad Bennouna

Publication date: 27 April 2020

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/s12215-019-00399-z

zbMATH Keywords

Dirichlet problemexistence of solutionsOrlicz spaceselliptic problem in divergence form

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

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Cites Work

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• Orlicz spaces and modular spaces
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• Existence of renormalized solution of nonlinear elliptic problems with lower order term in Orlicz spaces
• Elliptic problems with growth in nonreflexive Orlicz spaces and with measure or \(L^1\) data
• Existence of renormalized solutions to elliptic equation in Musielak-Orlicz space
• Variational inequalities in Orlicz-Sobolev spaces
• Nonlinear Elliptic Equations with Right Hand Side Measures
• Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients