An inequality of type Poincaré in Musielak spaces and application to some non-linear elliptic problems with data
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Publication:3195523
DOI10.1080/17476933.2014.1003816zbMath1326.35148OpenAlexW2039372911MaRDI QIDQ3195523
Mustafa Ait Khellou, Sidi Mohamed Douiri, Abdelmoujib Benkirane
Publication date: 20 October 2015
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476933.2014.1003816
truncationPoincaré-type inequalityMusielak-Orlicz spacesstrongly non-linear problems in \(L^1\)strongly non-linear Dirichlet problems
Related Items (12)
Unnamed Item ⋮ Strongly nonlinear elliptic boundary value problems in Musielak-Orlicz spaces ⋮ Nonlinear unilateral problems without sign condition in Musielak spaces ⋮ Existence and uniqueness of renormalized solution for nonlinear parabolic equations in Musielak Orlicz spaces ⋮ Rothe's method for a nonlinear parabolic problem in Musielak–Orlicz spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Elliptic inequalities with \(L^1\) data in Musielak-Orlicz spaces ⋮ Unnamed Item ⋮ Existence of solutions for some nonlinear elliptic problems involving Minty's lemma ⋮ Existence of solutions for some nonlinear elliptic equations in Musielak spaces with only the log-Hölder continuity condition ⋮ Elliptic inequalities with lower-order terms and \(L^1\) data in Musielak-Orlicz spaces
Cites Work
- Orlicz spaces and modular spaces
- Existence of solutions for elliptic equations having natural growth terms in Orlicz spaces
- Almost everywhere convergence of the gradients of solutions to elliptic equations in Orlicz spaces and application
- ON NON-NEWTONIAN FLUIDS WITH A PROPERTY OF RAPID THICKENING UNDER DIFFERENT STIMULUS
- Variational inequalities in Orlicz-Sobolev spaces
- An existence theorem for a strongly nonlinear elliptic problem in Orlicz spaces
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