Multiplicity of positive solutions for a nonlinear equation with a Hardy potential on the Heisenberg group
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Publication:2215839
DOI10.1016/j.bulsci.2020.102916zbMath1454.35407OpenAlexW3092683415MaRDI QIDQ2215839
Aidyn Kassymov, Durvudkhan Suragan
Publication date: 14 December 2020
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.bulsci.2020.102916
Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)
Related Items (2)
Nonexistence results of solutions of parabolic-type equations and systems on the Heisenberg group ⋮ On the existence of nonnegative radial solutions for Dirichlet exterior problems on the Heisenberg group
Cites Work
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- Quantization on nilpotent Lie groups
- On certain nonlocal Hardy-Sobolev critical elliptic Dirichlet problems
- Solutions for semilinear elliptic equations with critical exponents and Hardy potential
- On horizontal Hardy, Rellich, Caffarelli-Kohn-Nirenberg and \(p\)-sub-Laplacian inequalities on stratified groups
- Frequency functions on the Heisenberg group and the uncertainty principle and unique continuation
- Subelliptic estimates and function spaces on nilpotent Lie groups
- Existence of solutions for a nonlinear PDE with an inverse square potential.
- Regularity near the characteristic set in the nonlinear Dirichlet problem and conformal geometry of sub-Laplacians on Carnot groups.
- Schrödinger-Hardy systems involving two Laplacian operators in the Heisenberg group
- Semilinear Dirichlet problem involving critical exponent for the Kohn Laplacian
- Existence problems on Heisenberg groups involving Hardy and critical terms
- Semilinear elliptic equations for the fractional Laplacian with Hardy potential
- Fractional Hardy-Sobolev inequalities and existence results for fractional sub-Laplacians
- Dual variational methods in critical point theory and applications
- Existence for \((p, q)\) critical systems in the Heisenberg group
- Nonlinear elliptic inequalities with gradient terms on the Heisenberg group
- Some Hardy inequalities on the Heisenberg group
- Hardy inequalities on homogeneous groups. 100 years of Hardy inequalities
- On the quasilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy terms
- Hardy type and Rellich type inequalities on the Heisenberg group
- Some remarks on the solvability of non-local elliptic problems with the Hardy potential
- Harmonic Analysis in Phase Space. (AM-122)
- Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
- Existence and multiplicity results for quasilinear equations in the Heisenberg group
- Existence of solutions for singular critical growth semilinear elliptic equations
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