Quasi-linear Venttsel' problems with nonlocal boundary conditions on fractal domains
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Publication:505226
DOI10.1016/j.nonrwa.2016.11.002zbMathNoneOpenAlexW2557915485MaRDI QIDQ505226
Alejandro Vélez-Santiago, Paola Vernole, Maria Rosaria Lancia
Publication date: 19 January 2017
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2016.11.002
nonlocal boundary conditionsA priori estimatesnonlinear \(C_0\)-semigroupsnonlinear energy forms on fractalsultracontractivity for nonlinear semigroupsVenttsel' boundary conditions
Heat equation (35K05) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Quasilinear parabolic equations with (p)-Laplacian (35K92) Quasilinear elliptic equations with (p)-Laplacian (35J92) Strong solutions to PDEs (35D35)
Related Items (11)
Regularity results for nonlocal evolution Venttsel' problems ⋮ Unnamed Item ⋮ 3D Koch-type crystals ⋮ Approximation of a nonlinear fractal energy functional on varying Hilbert spaces ⋮ Transmission problems for the fractional \(p\)-Laplacian across fractal interfaces ⋮ On two-dimensional nonlocal Venttsel' problems in piecewise smooth domains ⋮ Convergence and density results for parabolic quasi-linear Venttsel' problems in fractal domains ⋮ Fractional \((s,p)\)-Robin-Venttsel' problems on extension domains ⋮ Singular \(p\)-homogenization for highly conductive fractal layers ⋮ Homogenization of a quasilinear elliptic problem in a fractal-reinforced structure ⋮ Existence of weak solutions to a \(p\)-Laplacian system on the Sierpiński gasket on \({\mathbb{R}}^2\)
Cites Work
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- Semilinear evolution transmission problems across fractal layers
- Numerical approximation of transmission problems across Koch-type highly conductive layers
- Regularity and well-posedness of some quasi-linear elliptic and parabolic problems with nonlinear general Wentzell boundary conditions on nonsmooth domains
- Density results for energy spaces on some fractafolds
- A priori estimates for the difference of solutions to quasi-linear elliptic equations
- Solvability of linear local and nonlocal Robin problems over \(C (\overline {\varOmega})\)
- \(L^q\)-\(L^\infty\) Hölder continuity for quasilinear parabolic equations associated to Sobolev derivations
- Asymptotics for Venttsel' problems for operators in non divergence form in irregular domains
- Venttsel' problems in fractal domains
- On a climate model with a dynamic nonlinear diffusive boundary condition
- Uniform global attractors for non-isothermal viscous and non-viscous Cahn-Hilliard equations with dynamic boundary conditions
- An ultracontractivity property for semigroups generated by the \(p\)-Laplacian with nonlinear Wentzell-Robin boundary conditions
- Monotone (nonlinear) operators in Hilbert space
- Quasiconformal mappings and extendability of functions in Sobolev spaces
- The trace to the boundary of Sobolev spaces on a snowflake
- Composite media and asymptotic Dirichlet forms
- Dirichlet forms and symmetric Markov processes
- A survey of results on nonlinear Venttsel problems.
- Nonlinear equations and mathematical analysis. Transl. from the Russian
- The heat equation with generalized Wentzell boundary condition.
- Remarks on measure-valued Lagrangians on homogeneous spaces
- Energy form on a closed fractal curve
- Semilinear fractal problems: approximation and regularity results
- An optimal mesh generation algorithm for domains with Koch type boundaries
- Heat-flow problems across fractal mixtures: regularity results of the solutions and numerical approximation.
- Global regularity for a class of quasi-linear local and nonlocal elliptic equations on extension domains
- Derivation and physical interpretation of general boundary conditions
- Quasi-linear variable exponent boundary value problems with Wentzell-Robin and Wentzell boundary conditions
- Boundary value problems for some degenerate-elliptic operators
- Remarks on nonlinear interpolation in Banach spaces
- Propriétés régularisantes de certains semi-groupes non linéaires
- A class of quasi-linear parabolic and elliptic equations with nonlocal Robin boundary conditions
- Embedding of Orlicz-Sobolev spaces in Hölder spaces
- Some remarks on Orlicz's interpolation theorem
- Nonlinear elliptic boundary-value problems in unbounded domains
- Regularity properties for the heat equation subject to nonlinear boundary constraints
- On an Elliptic Boundary Value Problem with Mixed Boundary Conditions, Arising in Suspended Sediment Transport Theory
- The dual of Besov spaces on fractals
- Nonlinear Markov semigroups, nonlinear Dirichlet forms and applications to minimal surfaces
- Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carathéodory spaces
- Uniform bounds for solutions to quasilinear parabolic equations.
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