On weak solutions of nonlinear weighted \(p\)-Laplacian elliptic inequalities

DOI10.1016/j.na.2008.12.031zbMath1165.35488OpenAlexW2117491605MaRDI QIDQ1017736

Patrizia Pucci, Marco Rigoli, Roberta Filippucci

Publication date: 12 May 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.12.031

zbMATH Keywords

nonexistence of entire solutions\(p\)-Laplacian elliptic inequalities with weightsexistence of \(p\)-regular radial solutions

Mathematics Subject Classification ID

Related Items (16)

Nonexistence of nonnegative solutions of elliptic systems of divergence type ⋮ Nonexistence of solutions for nonlinear differential inequalities with singularities on unbounded sets ⋮ Nonexistence of solutions for singular quasilinear differential inequalities with a gradient nonlinearity ⋮ A priori estimates for nonlinear differential inequalities and applications ⋮ Quasilinear elliptic systems in \(\mathbb R^N\) with multipower forcing terms depending on the gradient ⋮ Non-existence of solutions for nonlinear differential inequalities with singularities on the boundary ⋮ A variational inequality theory with applications to \(p\)-Laplacian elliptic inequalities ⋮ NONLINEAR WEIGHTED p-LAPLACIAN ELLIPTIC INEQUALITIES WITH GRADIENT TERMS ⋮ Positive weak solutions of semilinear second order elliptic inequalities via variational inequalities ⋮ A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities ⋮ A variational inequality index for condensing maps in Hilbert spaces and applications to semilinear elliptic inequalities ⋮ Liouville Type Theorems for Non-linear Differential Inequalities on Carnot Groups ⋮ Nonexistence of positive weak solutions of elliptic inequalities ⋮ On entire solutions of degenerate elliptic differential inequalities with nonlinear gradient terms ⋮ On the equivalence of stochastic completeness and Liouville and Khas’minskii conditions in linear and nonlinear settings ⋮ Nonlinear elliptic inequalities with gradient terms on the Heisenberg group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Large solutions of semilinear elliptic equations under the Keller-Osserman condition
• Existence of radial solutions for the \(p\)-Laplacian elliptic equations with weights
• The maximum principle
• Existence of large solutions for a quasilinear elliptic problem via explosive sub-supersolutions
• Entire solutions of singular elliptic inequalities on complete manifolds
• Stationary spherically symmetric models in stellar dynamics
• Existence and nonexistence of entire solutions to the logistic differential equation
• On the existence and asymptotic behavior of large solutions for a semilinear elliptic problem in \(\mathbb R^N\)
• Existence and asymptotic behavior of blow-up solutions to weighted quasilinear equations
• Non-existence of entire solutions of degenerate elliptic inequalities with weights
• Qualitative properties of ground states for singular elliptic equations with weights
• Quasilinear elliptic equations with boundary blow-up
• NONLINEAR WEIGHTED p-LAPLACIAN ELLIPTIC INEQUALITIES WITH GRADIENT TERMS
• Regularity of weak solutions of homogeneous or inhomogeneous quasilinear elliptic equations
• Maximum principles on Riemannian manifolds and applications
• Dead Cores and Bursts for Quasilinear Singular Elliptic Equations
• Entire solutions of quasilinear elliptic equations

This page was built for publication: On weak solutions of nonlinear weighted \(p\)-Laplacian elliptic inequalities