An intrinsic Liouville theorem for degenerate parabolic equations
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Publication:2510434
DOI10.1007/s00013-014-0648-yzbMath1295.35146OpenAlexW2054584886MaRDI QIDQ2510434
José Miguel Urbano, Eduardo V. Teixeira
Publication date: 1 August 2014
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10316/44397
Degenerate parabolic equations (35K65) Quasilinear parabolic equations with (p)-Laplacian (35K92) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
Related Items (6)
An optimal Liouville theorem for the porous medium equation ⋮ Geometric estimates for doubly nonlinear parabolic PDEs ⋮ Sharp regularity estimates for quasilinear evolution equations ⋮ Sharp regularity for the degenerate doubly nonlinear parabolic equation ⋮ Geometric \(C^{1 + \alpha}\) regularity estimates for nonlinear evolution models ⋮ Global gradient estimates for a general type of nonlinear parabolic equations
Cites Work
- Sharp regularity for evolutionary obstacle problems, interpolative geometries and removable sets
- Degenerate parabolic equations
- Liouville theorems for non-local operators
- Elementary proof of Bernstein's theorem on minimal surfaces
- Liouville-type theorems for certain degenerate and singular parabolic equations
- Regularity of \(p\)-harmonic functions on the plane
- Sharp regularity for general Poisson equations with borderline sources
- A geometric tangential approach to sharp regularity for degenerate evolution equations
- On Harnack's theorem for elliptic differential equations
- On S. Bernstein's Theorem on Surfaces z(x, y) of Nonpositive Curvature
- A Remark on a Theorem of Serge Bernstein
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