Nonlinear elliptic inequalities with gradient terms on the Heisenberg group

DOI10.1016/j.na.2015.02.012zbMath1328.35259OpenAlexW2007072085MaRDI QIDQ2349494

Sara Bordoni, Roberta Filippucci, Patrizia Pucci

Publication date: 22 June 2015

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.2015.02.012

zbMATH Keywords

existencenonexistencenonlinear elliptic inequalities on the Heisenberg groupuniqueness and qualitative properties of entire solutions

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Quasilinear elliptic equations (35J62) Entire solutions to PDEs (35B08)

Related Items (20)

Systems of semilinear evolution inequalities with temporal fractional derivative on the Heisenberg group ⋮ Liouville results for fully nonlinear equations modeled on Hörmander vector fields. I: The Heisenberg group ⋮ Existence and blow-up rate of large solutions of \(p(x)\)-Laplacian equations with gradient terms ⋮ Nonlinear elliptic equations on Carnot groups ⋮ Nonexistence of solutions to higher order evolution inequalities with nonlocal source term on Riemannian manifolds ⋮ Multiplicity of solutions for a class of critical Schrödinger-Poisson systems on the Heisenberg group ⋮ Concentration-compactness results for systems in the Heisenberg group ⋮ On criticality coupled sub-Laplacian systems with Hardy type potentials on stratified Lie groups ⋮ On the existence of nonnegative radial solutions for Dirichlet exterior problems on the Heisenberg group ⋮ Liouville-type results for elliptic equations with advection and potential terms on the Heisenberg group ⋮ Positive weak solutions of uniformly elliptic inequalities and applications to population models ⋮ Some new Liouville-type results for fully nonlinear PDEs on the Heisenberg group ⋮ Multiplicity of positive solutions for a nonlinear equation with a Hardy potential on the Heisenberg group ⋮ Global and blow-up radial solutions for quasilinear elliptic systems arising in the study of viscous, heat conducting fluids ⋮ On the role of gradient terms in coercive quasilinear differential inequalities on Carnot groups ⋮ Gradient-type systems on unbounded domains of the Heisenberg group ⋮ Yamabe-type equations on Carnot groups ⋮ Coercive elliptic systems with gradient terms ⋮ Subelliptic and parametric equations on Carnot groups ⋮ Positive solutions for quasilinear elliptic inequalities and systems with nonlocal terms

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