On the behaviour of solutions to the Dirichlet problem for the \(p(x)\)-Laplacian when \(p(x)\) goes to \(1\) in a subdomain.
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Publication:434503
zbMath1249.35121MaRDI QIDQ434503
Anna Mercaldo, Cristina Trombetti, Julio D. Rossi, Sergio Segura de León
Publication date: 10 July 2012
Published in: Differential and Integral Equations (Search for Journal in Brave)
Weak solutions to PDEs (35D30) Singular elliptic equations (35J75) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)
Related Items (4)
A Neumann problem for the \(p(x)\)-Laplacian with \(p=1\) in a subdomain ⋮ The double phase Dirichlet problem when the lowest exponent is equal to 1 ⋮ A concave-convex problem with a variable operator ⋮ On the continuity of the Luxemburg norm of the gradient in $L^{p(\cdot )}$ with respect to $p(\cdot )$
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