Quasilinear elliptic equations with critical potentials

DOI10.1515/anona-2017-0091zbMath1360.35030OpenAlexW2606829397MaRDI QIDQ525393

Enzo Mitidieri, Lorenzo D'Ambrosio

Publication date: 4 May 2017

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://www.degruyter.com/view/journals/anona/6/2/article-p147.xml

zbMATH Keywords

Carnot groupsLiouville theoremsquasilinear elliptic inequalities

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) A priori estimates in context of PDEs (35B45) Schrödinger operator, Schrödinger equation (35J10) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Quasilinear elliptic equations (35J62) Comparison principles in context of PDEs (35B51) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (14)

Existence of multiple solutions for a quasilinear Neumann problem with critical exponent ⋮ Two positive solutions for quasilinear elliptic equations with singularity and critical exponents ⋮ Existence of solutions of a non-linear eigenvalue problem with a variable weight ⋮ Growth of subsolutions of \(\Delta_p u = V|u|^{p-2} u\) and of a general class of quasilinear equations ⋮ Some remarks on gradient-type systems on the Heisenberg group ⋮ On a class of nonhomogeneous elliptic equations on noncompact Riemannian manifolds ⋮ Gradient-type systems on unbounded domains of the Heisenberg group ⋮ A critical point theorem in bounded convex sets and localization of Nash-type equilibria of nonvariational systems ⋮ Positive solutions for nonlinear singular elliptic equations of \(p\)-Laplacian type with dependence on the gradient ⋮ Local behavior of solutions to subelliptic problems with Hardy potential on Carnot groups ⋮ Unnamed Item ⋮ Nonexistence of solutions for quasilinear Schrödinger equation in ℝ^N ⋮ Some existence results of positive solutions for \(p\)-Laplacian systems ⋮ Liouville type theorem for a singular elliptic equation with finite Morse index

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