Existence of nontrivial solutions for critical Kirchhoff-Poisson systems in the Heisenberg group
DOI10.1515/ans-2022-0018zbMath1495.35175OpenAlexW4290995225MaRDI QIDQ2164332
Publication date: 12 August 2022
Published in: Advanced Nonlinear Studies (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ans-2022-0018
Heisenberg groupcritical growthconcentration-compactness principlelogarithmic nonlinearityKirchhoff-Poisson system
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational methods applied to PDEs (35A15) Semilinear elliptic equations (35J61) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Integro-partial differential equations (35R09) Boundary value problems for second-order elliptic systems (35J57)
Cites Work
- Unnamed Item
- An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
- Frequency functions on the Heisenberg group and the uncertainty principle and unique continuation
- Existence of solutions and regularity near the characteristic boundary for sub-Laplacian equations on Carnot groups
- Global solvability for the degenerate Kirchhoff equation with real analytic data
- Critical Schrödinger-Hardy systems in the Heisenberg group
- Existence problems on Heisenberg groups involving Hardy and critical terms
- Characterizations of Sobolev spaces in Euclidean spaces and Heisenberg groups
- High perturbations of critical fractional Kirchhoff equations with logarithmic nonlinearity
- Combined effects of logarithmic and critical nonlinearities in fractional Laplacian problems
- Multiple solutions for critical Kirchhoff-Poisson systems in the Heisenberg group
- Least energy solutions for fractional Kirchhoff problems with logarithmic nonlinearity
- Sharp Trudinger-Moser inequality and ground state solutions to quasi-linear Schrödinger equations with degenerate potentials in \(\mathbb{R}^n\)
- Concentration-compactness principle for Trudinger-Moser's inequalities on Riemannian manifolds and Heisenberg groups: a completely symmetrization-free argument
- Dual variational methods in critical point theory and applications
- Existence for \((p, q)\) critical systems in the Heisenberg group
- Semiclassical ground state solutions for critical Schrödinger-Poisson systems with lower perturbations
- The Schrödinger-Poisson type system involving a critical nonlinearity on the first Heisenberg group
- Semilinear subelliptic problems with critical growth on Carnot groups
- Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
- Critical nonlocal Schrödinger-Poisson system on the Heisenberg group
- Extremals for the Sobolev Inequality on the Heisenberg Group and the CR Yamabe Problem
- Existence And Size Estimates For The Green's Functions Of Differential Operators Constructed From Degenerate Vector Fields
- Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
- On Nonuniformly Subelliptic Equations of Q−sub-Laplacian Type with Critical Growth in the Heisenberg Group
- Existence and multiplicity results for quasilinear equations in the Heisenberg group
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