Kirchhoff-type problems involving the fractional \(p\)-Laplacian on the Heisenberg group
DOI10.1007/s12215-022-00763-6zbMath1501.35214OpenAlexW4281675137MaRDI QIDQ2089943
Jieyu Zhou, Lifeng Guo, Binlin Zhang
Publication date: 24 October 2022
Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12215-022-00763-6
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Quasilinear elliptic equations (35J62) Fractional partial differential equations (35R11)
Related Items (2)
Cites Work
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- Hardy's inequality for fractional powers of the sublaplacian on the Heisenberg group
- Lewy-Stampacchia type estimates for variational inequalities driven by (non)local operators
- Hitchhiker's guide to the fractional Sobolev spaces
- Existence of solutions for Kirchhoff type problem involving the non-local fractional \(p\)-Laplacian
- Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity
- Multiplicity of solutions for \(p(x)\)-polyharmonic elliptic Kirchhoff equations
- Superlinear problems
- Mountain pass solutions for non-local elliptic operators
- Frequency functions on the Heisenberg group and the uncertainty principle and unique continuation
- On a \(p\)-Kirchhoff equation via Krasnoselskii's genus
- Minimax theorems and qualitative properties of the solutions of hemivariational inequalities
- Harmonic analysis on the Heisenberg group
- Fractional quantum mechanics and Lévy path integrals
- Semilinear Dirichlet problem involving critical exponent for the Kohn Laplacian
- Variational methods for non-local operators of elliptic type
- Existence problems on Heisenberg groups involving Hardy and critical terms
- Superlinear Schrödinger-Kirchhoff type problems involving the fractional \(p\)-Laplacian and critical exponent
- Multiple solutions for critical Kirchhoff-Poisson systems in the Heisenberg group
- Regularity for sub-elliptic systems with VMO-coefficients in the Heisenberg group: the sub-quadratic structure case
- Existence of solutions for a \(p(x)\)-Kirchhoff-type equation
- Existence for \((p, q)\) critical systems in the Heisenberg group
- Positive solutions for a quasilinear elliptic equation of Kirchhoff type
- Improved Sobolev inequalities on the Heisenberg group
- On the isoperimetric problem in the Heisenberg group \(\mathbb H^n\)
- Nontrivial solutions of superlinear \(p\)-Laplacian equations
- Hypoelliptic second order differential equations
- Critical nonlocal Schrödinger-Poisson system on the Heisenberg group
- Infinitely many solutions for the stationary Kirchhoff problems involving the fractionalp-Laplacian
- Non-local Diffusions, Drifts and Games
- Variational Methods for Nonlocal Fractional Problems
- On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
- A Hardy type inequality on fractional order Sobolev spaces on the Heisenberg group
- Variational framework and Lewy-Stampacchia type estimates for nonlocal operators on Heisenberg group
- Existence results for Kirchhoff–type superlinear problems involving the fractional Laplacian
- Multiplicity of solutions for a class of superlinear non-local fractional equations
- Existence of solutions for p-sub-Laplacians with nonlinear sources on the Heisenberg group
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