The obstacle problem for singular doubly nonlinear equations of porous medium type

DOI10.4171/RLM/903zbMath1460.35213OpenAlexW3096574478MaRDI QIDQ2658503

Leah Schätzler

Publication date: 23 March 2021

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rlm/903

zbMATH Keywords

existenceporous medium equationvariational solutionsminimizing movementsdoubly nonlinear equations

Mathematics Subject Classification ID

Variational inequalities (49J40) Degenerate parabolic equations (35K65) Methods involving semicontinuity and convergence; relaxation (49J45) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)

Related Items (4)

The obstacle problem for degenerate doubly nonlinear equations of porous medium type ⋮ Functional inequalities and applications to doubly nonlinear diffusion equations ⋮ Continuity up to the boundary for obstacle problems to porous medium type equations ⋮ On the Hölder regularity for obstacle problems to porous medium type equations

Cites Work

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• Parabolic systems with \({p,q}\)-growth: a variational approach
• The obstacle problem for the porous medium equation
• The obstacle problem for parabolic minimizers
• Degenerate parabolic equations
• Doubly nonlinear equations of porous medium type
• Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals
• Existence results for doubly nonlinear higher order parabolic equations on unbounded domains
• Quasilinear elliptic-parabolic differential equations
• Existence of Hölder continuous generalized solutions of the first boundary value problem for quasilinear doubly degenerate parabolic equations
• Pseudo solutions of the time-dependent minimal surface problem
• A degenerate diffusion problem not in divergence form
• A variational approach to doubly nonlinear equations
• Regularity for doubly nonlinear parabolic equations
• Existence for singular doubly nonlinear systems of porous medium type with time dependent boundary values
• The higher integrability of weak solutions of porous medium systems
• Existence of evolutionary variational solutions via the calculus of variations
• Regularity properties of flows through porous media: The interface
• Sur la résolution d'une équation et d'une inéquation parabolique non linéaires
• Doubly Nonlinear Equations as Convex Minimization
• On the existence of weak solutions for quasilinear parabolic initial-boundary value problems
• Diffusion of Fluid in a Fissured Medium with Microstructure
• A Time Dependent Variational Approach to Image Restoration
• Higher integrability for doubly nonlinear parabolic systems

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