Existence and multiplicity results for quasilinear equations in the Heisenberg group
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Publication:5242425
DOI10.7494/OPMATH.2019.39.2.247zbMath1437.35360OpenAlexW2905424730MaRDI QIDQ5242425
Publication date: 8 November 2019
Published in: Opuscula Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7494/opmath.2019.39.2.247
Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09) Entire solutions to PDEs (35B08)
Related Items (19)
Degenerated and Competing Horizontal (p, q)-Laplacians with Weights on the Heisenberg Group ⋮ Existence of nontrivial solutions for critical Kirchhoff-Poisson systems in the Heisenberg group ⋮ Critical nonlocal Schrödinger-Poisson system on the Heisenberg group ⋮ On the critical Choquard-Kirchhoff problem on the Heisenberg group ⋮ 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 ⋮ Entire weak solutions for an anisotropic equation in the Heisenberg group ⋮ Critical Kirchhoff equations involving the p-sub-Laplacians operators on the Heisenberg group ⋮ Compact embeddings, eigenvalue problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups ⋮ High and low perturbations of the critical Choquard equation on the Heisenberg group ⋮ On critical exponential Kirchhoff systems on the Heisenberg group ⋮ On the nonlocal Schrödinger‐poisson type system in the Heisenberg group ⋮ Multiplicity of positive solutions for a nonlinear equation with a Hardy potential on the Heisenberg group ⋮ Existence and multiplicity of solutions for critical Kirchhoff-Choquard equations involving the fractional \(p\)-Laplacian on the Heisenberg group ⋮ Multiple positive solutions for Schrödinger-Poisson system with singularity on the Heisenberg group ⋮ Existence for \((p, q)\) critical systems in the Heisenberg group ⋮ Compact Sobolev embeddings and positive solutions to a quasilinear equation with mixed nonlinearities ⋮ Unnamed Item ⋮ Existence results of infinitely many weak solutions of a singular subelliptic system on the Heisenberg group
Cites Work
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- Existence of entire solutions for a class of quasilinear elliptic equations
- Combined effects in quasilinear elliptic problems with lack of compactness
- Frequency functions on the Heisenberg group and the uncertainty principle and unique continuation
- Schrödinger-Hardy systems involving two Laplacian operators in the Heisenberg group
- Critical Schrödinger-Hardy systems in the Heisenberg group
- Existence of entire solutions for a class of variable exponent elliptic equations
- On the isoperimetric problem in the Heisenberg group \(\mathbb H^n\)
- Hypoelliptic second order differential equations
- Variational Methods
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