On the nonexistence of positive solutions to nonlinear degenerate parabolic equations with singular coefficients

DOI10.1080/00036810500404967zbMath1099.35051OpenAlexW2063850571WikidataQ58254281 ScholiaQ58254281MaRDI QIDQ5474555

Ismail Kombe

Publication date: 26 June 2006

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810500404967

zbMATH Keywords

Hardy-type inequalityCarnot-Carathéodory metric ball

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (7)

Doubly Nonlinear Degenerate Parabolic Equations with a Singular Potential for Greiner Vector Fields ⋮ A general approach to weighted \(L^{p}\) Rellich type inequalities related to Greiner operator ⋮ Heat equation with a singular potential on the boundary and the Kato inequality ⋮ Nonlinear degenerate parabolic equations with singular coefficients for Greiner vector fields ⋮ Nonlinear degenerate parabolic equations with time-dependent singular potentials for Baouendi-Grushin vector fields ⋮ Improved Hardy and Rellich type inequalities with two weight functions ⋮ Nonlinear degenerate parabolic equations with time dependent singular coefficients

Cites Work

• Unnamed Item
• Frequency functions on the Heisenberg group and the uncertainty principle and unique continuation
• Balls and metrics defined by vector fields. I: Basic properties
• Uniform hypoelliptic Green's functions
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Hardy inequalities and some critical elliptic and parabolic problems
• Green's functions for some highly degenerate elliptic operators
• The sharp Poincaré inequality for free vector fields: An endpoint result
• Doubly nonlinear parabolic equations with singular lower order term.
• Hardy-type inequalities and Pohozaev-type identities for a class of \(p\)-degenerate subelliptic operators and applications.
• Hypoelliptic second order differential equations
• Linear parabolic equations with strong singular potentials
• A Fundamental Solution for a Nonelliptic Partial Differential Operator
• An embedding theorem and the harnack inequality for nonlinear subelliptic equations
• The linear heat equation with highly oscillating potential
• On a Geometric Formula for the Fundamental Solution of Subelliptic Laplacians
• Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier
• Nonlinear parabolic equations with singular coefficient and critical exponent
• A fundamental solution for a subelliptic operator
• On a degenerate heat equation with a singular potential

This page was built for publication: On the nonexistence of positive solutions to nonlinear degenerate parabolic equations with singular coefficients