Semi-linear elliptic and elliptic-parabolic equations with Wentzell boundary conditions and \(L^1\)-data

DOI10.3934/dcds.2014.34.761zbMath1280.35052OpenAlexW2322797778MaRDI QIDQ379751

Mahamadi Warma, Paul E. Sacks

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2014.34.761

zbMATH Keywords

existence of weak solutionsmild solutionssemi-linear elliptic equationselliptic-parabolic equationsnonlinear Wentzell boundary conditions

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Weak solutions to PDEs (35D30) Semilinear elliptic equations (35J61)

Related Items (5)

Parabolic problems with general Wentzell boundary conditions and diffusion on the boundary ⋮ Positive solutions for Robin problems with general potential and logistic reaction ⋮ Direct and inverse problems for a 2D heat equation with a Dirichlet-Neumann-Wentzell boundary condition ⋮ Semilinear Robin problems with indefinite potential and competition phenomena ⋮ Nonlinear Neumann problems with indefinite potential and concave terms

Cites Work

• Semi linear parabolic equations with nonlinear general Wentzell boundary conditions
• Regularity and well-posedness of some quasi-linear elliptic and parabolic problems with nonlinear general Wentzell boundary conditions on nonsmooth domains
• A degenerate diffusion problem with dynamical boundary conditions
• A degenerate elliptic-parabolic problem with nonlinear dynamical boundary conditions
• \(L^1\) existence and uniqueness results for quasi-linear elliptic equations with nonlinear boundary conditions
• The heat equation with nonlinear general Wentzell boundary condition
• An ultracontractivity property for semigroups generated by the \(p\)-Laplacian with nonlinear Wentzell-Robin boundary conditions
• Some \(L^ 1\) existence and dependence results for semilinear elliptic equations under nonlinear boundary conditions
• Image d'une somme d'opérateurs monotones et applications
• Semi-linear second-order elliptic equations in \(L^1\)
• Parabolic and elliptic problems with general Wentzell boundary condition on Lipschitz domains
• Problèmes unilateraux
• Elliptic operators with general Wentzell boundary conditions, analytic semigroups and the angle concavity theorem
• The Ill-Posed Hele-Shaw Model and The Stefan Problem for Supercooled Water
• Existence and uniqueness for a degenerate parabolic equation with 𝐿¹-data
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