Schrödinger-Hardy systems involving two Laplacian operators in the Heisenberg group
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Publication:1646404
DOI10.1016/j.bulsci.2018.03.001zbMath1394.35531OpenAlexW2789409469MaRDI QIDQ1646404
Publication date: 25 June 2018
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.bulsci.2018.03.001
Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Degenerate elliptic equations (35J70) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)
Related Items (20)
Existence for singular critical exponential \((p,Q)\) equations in the Heisenberg group ⋮ Critical nonlocal Schrödinger-Poisson system on the Heisenberg group ⋮ On the critical Choquard-Kirchhoff problem on the Heisenberg group ⋮ Sub-elliptic problems with multiple critical Sobolev-Hardy exponents on Carnot groups ⋮ Some existence results for critical nonlocal Choquard equation on the Heisenberg group ⋮ A Schrödinger-Poisson system with the critical growth on the first Heisenberg group ⋮ Concentration-compactness results for systems in the Heisenberg group ⋮ Critical Kirchhoff equations involving the p-sub-Laplacians operators on the Heisenberg group ⋮ High and low perturbations of the critical Choquard equation on the Heisenberg group ⋮ On the nonlocal Schrödinger‐poisson type system in the Heisenberg group ⋮ Some remarks on gradient-type systems on the Heisenberg group ⋮ A stability result of a fractional heat equation and time fractional diffusion equations governed by fractional fluxes in the Heisenberg group ⋮ On the nonlinear Schrödinger equation on the Poincaré ball model ⋮ Multiplicity of positive solutions for a nonlinear equation with a Hardy potential on the Heisenberg group ⋮ Critical Schrödinger-Hardy systems in the Heisenberg group ⋮ Gradient-type systems on unbounded domains of the Heisenberg group ⋮ Existence for \((p, q)\) critical systems in the Heisenberg group ⋮ Kirchhoff-type problems on a geodesic ball of the hyperbolic space ⋮ Existence and multiplicity results for quasilinear equations in the Heisenberg group ⋮ Unnamed Item
Cites Work
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- Critical nonlocal systems with concave-convex powers
- Existence theorems for entire solutions of stationary Kirchhoff fractional \(p\)-Laplacian equations
- \(L^{p}\) and BMO bounds for weighted Hardy operators on the Heisenberg group
- Existence of entire solutions for a class of quasilinear elliptic equations
- Lions-type compactness and Rubik actions on the Heisenberg group
- Keller-Osserman type conditions for differential inequalities with gradient terms on the Heisenberg group
- Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
- Frequency functions on the Heisenberg group and the uncertainty principle and unique continuation
- Sobolev inequalities on Lie groups and symmetric spaces
- Existence of solutions and regularity near the characteristic boundary for sub-Laplacian equations on Carnot groups
- Analysis on nilpotent groups
- Subelliptic estimates and function spaces on nilpotent Lie groups
- Existence of nonnegative solutions for a class of systems involving fractional \((p,q)\)-Laplacian operators
- Nontrivial solutions for perturbations of the \(p\)-Laplacian on unbounded domains
- Existence theorems for quasilinear elliptic eigenvalue problems in unbounded domains
- On some nonlinear equations involving the \(p\)-Laplacian with critical Sobolev growth
- Existence of entire solutions for Schrödinger-Hardy systems involving two fractional operators
- Gradient regularity for elliptic equations in the Heisenberg group
- Improved Sobolev inequalities on the Heisenberg group
- Existence of nonzero weak solutions for a class of elliptic variational inclusions systems in \(\mathbb R^N\)
- On the isoperimetric problem in the Heisenberg group \(\mathbb H^n\)
- Hypoelliptic second order differential equations
- Hardy type and Rellich type inequalities on the Heisenberg group
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Existence of solutions to a class of quasilinear Schrödinger systems involving the fractional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>p</mml:mi> </mml:mrow> </mml:math>-Laplacian
- p-Laplace Equation in the Heisenberg Group
- Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
- Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
- Weighted sobolev-poincaré inequalities for grushin type operators
- Fractional Laplacian system involving doubly critical nonlinearities in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mi>ℝ</mml:mi> <mml:mi>N</mml:mi> </mml:msup> </mml:mrow> </mml:math>
- Trudinger‐Moser inequalities on the entire Heisenberg group
- EXISTENCE OF TWO NON-TRIVIAL SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC VARIATIONAL SYSTEMS ON STRIP-LIKE DOMAINS
- [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]
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