Existence of solutions for Kirchhoff type systems involving \(Q\)-Laplacian operator in Heisenberg group
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Publication:1995806
DOI10.1016/j.jmaa.2020.124727zbMath1459.35365OpenAlexW3094728341MaRDI QIDQ1995806
Shengbing Deng, Xingliang Tian
Publication date: 25 February 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124727
PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Quasilinear elliptic equations (35J62) Boundary value problems for second-order elliptic systems (35J57)
Related Items
Critical Kirchhoff equations involving the p-sub-Laplacians operators on the Heisenberg group, On critical exponential Kirchhoff systems on the Heisenberg group, Multiple solutions for a singular nonhomogenous biharmonic equation in Heisenberg group, Nodal solutions for \(Q\)-Laplacian problem with exponential nonlinearities on the Heisenberg group, Existence and multiplicity of solutions to a Kirchhoff type elliptic system with Trudinger-Moser growth
Cites Work
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- Ground state solution for a Kirchhoff problem with exponential critical growth
- \(L^{p}\) and BMO bounds for weighted Hardy operators on the Heisenberg group
- The Moser-Trudinger inequality in unbounded domains of Heisenberg group and sub-elliptic equations
- On a singular class of elliptic systems involving critical growth in \(\mathbb R^2\)
- Existence of positive solutions to quasi-linear elliptic equations with exponential growth in the whole Euclidean space
- Existence and multiplicity of solutions to equations of \(N\)-Laplacian type with critical exponential growth in \(\mathbb R^N\)
- Nontrivial solutions of Kirchhoff-type problems via the Yang index
- Existence results of positive solutions of Kirchhoff type problems
- Frequency functions on the Heisenberg group and the uncertainty principle and unique continuation
- The concentration-compactness principle in the calculus of variations. The limit case. I
- A nonhomogeneous elliptic problem involving critical growth in dimension two
- On a quasilinear nonhomogeneous elliptic equation with critical growth in \(\mathbb R^N\)
- Sobolev and isoperimetric inequalities for degenerate metrics
- Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
- Multiple solutions of a Kirchhoff type elliptic problem with the Trudinger-Moser growth
- Semilinear Dirichlet problems for the \(N\)-Laplacian in \(\mathbb{R}^ N\) with nonlinearities in the critical growth range
- Existence of solutions for fractional \(p\)-Kirchhoff type equations with a generalized Choquard nonlinearity
- Dual variational methods in critical point theory and applications
- Weighted Poincaré and Sobolev inequalities for vector fields satisfying Hörmander's condition and applications
- \(p\)-fractional Hardy-Schrödinger-Kirchhoff systems with critical nonlinearities
- Improved Sobolev inequalities on the Heisenberg group
- On the isoperimetric problem in the Heisenberg group \(\mathbb H^n\)
- Infinitely many positive solutions for Kirchhoff-type problems
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
- Best constants for Moser-Trudinger inequalities on the Heisenberg group
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- On Nonuniformly Subelliptic Equations of Q−sub-Laplacian Type with Critical Growth in the Heisenberg Group
