Anisotropic \(p,q\)-Laplacian equations when \(p\) goes to 1
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Publication:708699
DOI10.1016/j.na.2010.07.030zbMath1198.35117OpenAlexW2205983735MaRDI QIDQ708699
Julio D. Rossi, Anna Mercaldo, Cristina Trombetti, Sergio Segura de León
Publication date: 14 October 2010
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2010.07.030
Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items (11)
A Neumann problem for the \(p(x)\)-Laplacian with \(p=1\) in a subdomain ⋮ Nodal solutions to quasilinear elliptic problems involving the 1-Laplacian operator via variational and approximation methods ⋮ Existence of nontrivial solution for quasilinear equations involving the 1-biharmonic operator ⋮ Existence and concentration properties for the 1-biharmonic equation with lack of compactness ⋮ The double phase Dirichlet problem when the lowest exponent is equal to 1 ⋮ On some weighted 1-Laplacian problem on \(\mathbb{R}^N\) with singular behavior at the origin ⋮ Extremal functions for an embedding from some anisotropic space, involving the ``one Laplacian ⋮ Sub-supersolution method for a quasilinear elliptic problem involving the 1-Laplacian operator and a gradient term ⋮ p-Parabolic approximation of total variation flow solutions ⋮ On a quasilinear elliptic problem involving the 1-biharmonic operator and a Strauss type compactness result ⋮ A priori estimates for solutions to anisotropic elliptic problems via symmetrization
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