Bounded solutions to the 1-Laplacian equation with a critical gradient term
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Publication:3143618
DOI10.3233/ASY-2012-1099zbMath1260.35038OpenAlexW1532994826MaRDI QIDQ3143618
Sergio Segura de León, Andrea Dall'Aglio, Fuensanta Andreu
Publication date: 3 December 2012
Published in: Asymptotic Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3233/asy-2012-1099
degenerate elliptic equations1-Laplacianfunctions of bounded variationsgradient term with natural growth
Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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1-Laplacian type problems with strongly singular nonlinearities and gradient terms ⋮ Regularizing effect of absorption terms in singular problems ⋮ Existence of bounded solutions for a class of singular elliptic problems involving the 1-Laplacian operator ⋮ On 1-Laplacian elliptic problems involving a singular term and an \(L^1\)-data ⋮ Finite energy solutions for nonlinear elliptic equations with competing gradient, singular and \(L^1\) terms ⋮ Elliptic problems involving the 1–Laplacian and a singular lower order term ⋮ Multiplicity of solutions to elliptic problems involving the 1-Laplacian with a critical gradient term ⋮ The Dirichlet problem for singular elliptic equations with general nonlinearities ⋮ Bounded solutions to the 1-Laplacian equation with a total variation term ⋮ A non-homogeneous elliptic problem dealing with the level set formulation of the inverse mean curvature flow ⋮ Large solutions for the elliptic 1-Laplacian with absorption
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