Entropy solutions for some nonlinear and noncoercive unilateral elliptic problems

DOI10.1007/S12215-019-00477-2zbMath1464.35108OpenAlexW2995346224MaRDI QIDQ2657385

Youssef Akdim, Mounir Mekkour, Mohammed Belayachi, Hassane Hjiaj

Publication date: 12 March 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/s12215-019-00477-2

zbMATH Keywords

obstacle problemsentropy solutionsnonlinear elliptic equationsnon-coercive problems

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

Related Items (5)

The obstacle problem for noncoercive elliptic equations with variable growth and \(L^1\)-data ⋮ A class of quasilinear and noncoercive elliptic problem in a two-component domain with \(L^1\) data ⋮ Weak and renormalized solutions for anisotropic Neumann problems with degenerate coercivity ⋮ Quasilinear class of noncoercive parabolic problems with Hardy potential and L1-data ⋮ Unnamed Item

Cites Work

• On a nonlinear partial differential equation having natural growth terms and unbounded solution
• Existence of bounded solutions for non linear elliptic unilateral problems
• Bounded and unbounded solutions for a class of quasi-linear elliptic problems with a quadratic gradient term.
• Nonlinear elliptic equations having a gradient term with natural growth
• Existence results for nonlinear elliptic equations with degenerate coercivity
• Strongly nonlinear elliptic equations having natural growth terms and L1 data
• Entropy solutions for nonlinear elliptic equations in L1
• INFINITE VALUED SOLUTIONS OF NON-UNIFORMLY ELLIPTIC PROBLEMS
• Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder
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