scientific article; zbMATH DE number 7814866

MaRDI QIDQ6191922

Soumia Lalaoui Rhali, Youssef Akdim, Unnamed Author

Publication date: 11 March 2024

Full work available at URL: http://e-ndst.kiev.ua/v23n5/1(90).pdf

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zbMATH Keywords

weighted Sobolev spacesentropy solutionsnonlinear elliptic equationsdegenerate coercivity

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Research exposition (monographs, survey articles) pertaining to systems and control theory (93-02) Degenerate elliptic equations (35J70) Nonlinear dynamics in mechanics (70K99)

Cites Work

• A compact embedding theorem for generalized Sobolev spaces
• Renormalized solutions for nonlinear degenerate elliptic problems with \(L^1\) data
• Existence of bounded solutions for non linear elliptic unilateral problems
• Existence results for nonlinear elliptic equations with degenerate coercivity
• The local regularity of solutions of degenerate elliptic equations
• Entropy solutions for nonlinear elliptic equations in L1
• The solvability of Dirichlet problem for a class of degenerate elliptic equations withL¹-data
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