On solutions of quasilinear elliptic inequalities containing terms with lower-order derivatives

DOI10.1016/j.na.2013.06.001zbMath1287.35110arXiv1212.6603OpenAlexW2065629717MaRDI QIDQ2435174

Andrej A. Kon'kov

Publication date: 3 February 2014

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

Full work available at URL: https://arxiv.org/abs/1212.6603

zbMATH Keywords

unbounded domainsDirichlet boundary conditionnonlinear elliptic operatorspartial differential inequality

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Partial differential inequalities and systems of partial differential inequalities (35R45) Second-order elliptic equations (35J15) Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44) PDEs with measure (35R06)

Related Items

Generalized Harnack inequality for semilinear elliptic equations ⋮ Nonexistence of solutions of a semilinear biharmonic equation with singular potential ⋮ Blow-up of positive solutions of a second-order semilinear elliptic equation with lower derivatives and with singular potential ⋮ Keller-Osserman a priori estimates and the Harnack inequality for the evolution \(p\)-Laplace equation with singular absorption term ⋮ Harnack's inequality for porous medium equation with singular absorption term ⋮ On properties of solutions of quasilinear second-order elliptic inequalities ⋮ Unnamed Item ⋮ The Vázquez maximum principle and the Landis conjecture for elliptic PDE with unbounded coefficients ⋮ Nonexistence of global positive solutions of weakly coupled systems of semilinear parabolic equations with time-periodic coefficients ⋮ Keller-Osserman a priori estimates and the Harnack inequality for quasilinear elliptic and parabolic equations with absorption term

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On comparison theorems for elliptic inequalities
• On the inequality \(\Delta u \geqq f (u)\)
• On the properties of solutions of elliptic inequalities with nonlinearity in the principal part
• Nonexistence of positive weak solutions of elliptic inequalities
• On entire solutions of degenerate elliptic differential inequalities with nonlinear gradient terms
• Comportement asymptotique des solutions d'équations elliptiques semi-linéaires dans \(\mathbb R^ N\)
• Existence and nonexistence of entire solutions to the logistic differential equation
• Non-existence of entire solutions of degenerate elliptic inequalities with weights
• Linear and quasilinear elliptic equations
• On solutions of δu=f(u)
• Nonexistence results and estimates for some nonlinear elliptic problems