Bounded solutions for nonlinear elliptic equations with degenerate coercivity and data in an \(L \log L\)

zbMath1157.35359MaRDI QIDQ935564

Abdelmoujib Benkirane, Driss Meskine, Ahmed Youssfi

Publication date: 11 August 2008

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1210254830

zbMATH Keywords

rearrangementsnonlinear elliptic equationsZygmund spaces\(L^{\infty}\)-estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70)

Related Items (5)

The Obstacle Problem For Nonlinear Degenerate Elliptic Equations with Variable Exponents and L$^1$-Data ⋮ Positive radial solutions of a nonlinear boundary value problem ⋮ Regularizing effects of some lower order terms in non-uniformly nonlinear elliptic equations ⋮ Existence and nonexistence of positive radial solutions of a quasilinear Dirichlet problem with diffusion ⋮ Corrigendum to: ``Existence of \(W_0^{1,1}(\Omega)\) solutions to non-coercivity quasilinear elliptic problem

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