Nonexistence results for parabolic equations involving the \(p\)-Laplacian and Hardy-Leray-type inequalities on Riemannian manifolds
type: Item
instance of: scholarly article
title: Nonexistence results for parabolic equations involving the \(p\)-Laplacian and Hardy-Leray-type inequalities on Riemannian manifolds
zbMATH Open document ID: 1480.35290
author: Gisèle Ruiz Goldstein
author: Sümeyye Bakim
author: Jerome A. Goldstein
author: Ismail Kombe
published in: Journal of Evolution Equations
publication date: 2022-01-03T00:00:00Z
Mathematics Subject Classification ID: 35K92
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35B33
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35R01
zbMATH DE Number: 7451419
zbMATH Keywords: critical exponent
zbMATH Keywords: Hardy-Leray-type inequalities
zbMATH Keywords: nonexistence of positive solutions
MaRDI profile type: Publication
full work available at URL: s00028-021-00691-5
OpenAlex ID: W3164579500
Wikidata QID: Q115389800
cites work: An improved Hardy-Sobolev inequality and its application
cites work: Existence and non-existence of the first eigenvalue of the perturbed Hardy–Sobolev operator
cites work: Global Behavior of the Cauchy Problem for Some Critical Nonlinear Parabolic Equations
cites work: Hardy inequalities and some critical elliptic and parabolic problems
cites work: The Heat Equation with a Singular Potential
cites work: Improved \(L^p\)-Poincaré inequalities on the hyperbolic space
cites work: Q4378149
cites work: Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier
cites work: Hardy inequalities on non-compact Riemannian manifolds
cites work: Q5473394
cites work: Hardy inequalities on Riemannian manifolds and applications
cites work: The role of critical exponents in blow-up theorems: The sequel
cites work: A nonlinear elliptic PDE with the inverse square potential.
cites work: Q5547841
cites work: Riemannian geometry
cites work: On a degenerate heat equation with a singular potential
cites work: Linear parabolic equations with strong singular potentials
cites work: Q4462280
cites work: Nonlinear parabolic equations with singular coefficient and critical exponent
cites work: On nonexistence of global solutions of some semilinear parabolic differential equations
cites work: Q4953998
cites work: The linear heat equation with highly oscillating potential
cites work: Improved Hardy and Rellich inequalities on Riemannian manifolds
cites work: Hardy-Poincaré, Rellich and uncertainty principle inequalities on Riemannian manifolds
cites work: Weighted Hardy and Rellich type inequalities on Riemannian manifolds
cites work: Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique
cites work: Weighted Poincaré inequality and rigidity of complete manifolds
cites work: The Role of Critical Exponents in Blowup Theorems
cites work: On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
cites work: An upper bound to the spectrum of \(\Delta\) on a manifold of negative curvature
cites work: Sharp constant for Poincaré-type inequalities in the hyperbolic space
cites work: On the stability or instability of the singular solution of the semilinear heat equation with exponential reaction term
cites work: Foundations of Hyperbolic Manifolds
cites work: Aspects of Sobolev-type inequalities
cites work: Analysis of the Laplacian on a complete Riemannian manifold
cites work: The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential
cites work: Existence and non-existence of global solutions for a semilinear heat equation
cites work: A new critical phenomenon for semilinear parabolic problems
cites work: Blow-up results for nonlinear parabolic equations on manifolds
cites work: Q4492807
cites work: The quantizing effect of potentials on the critical number of reaction-diffusion equations
DOI: 10.1007/S00028-021-00691-5
description: scientific article; zbMATH DE number 7451419