Radial symmetry for positive solutions of fractional \(p\)-Laplacian equations via constrained minimization method
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Publication:2335638
DOI10.1016/J.AMC.2018.05.028zbMath1427.35341OpenAlexW2805251394MaRDI QIDQ2335638
Liuliu Xie, Xiaotao Huang, Lihe Wang
Publication date: 15 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2018.05.028
Critical exponents in context of PDEs (35B33) Methods involving semicontinuity and convergence; relaxation (49J45) Fractional partial differential equations (35R11) Axially symmetric solutions to PDEs (35B07)
Related Items (2)
The set of p-harmonic functions in B1 is total in Ck (B̄1) ⋮ Radial symmetry for weak positive solutions of fractional Laplacian with a singular nonlinearity
Cites Work
- A note on global regularity for the weak solutions of fractional \(p\)-Laplacian equations
- Local behavior of fractional \(p\)-minimizers
- A geometric inequality and a symmetry result for elliptic systems involving the fractional Laplacian
- Hitchhiker's guide to the fractional Sobolev spaces
- A direct method of moving planes for the fractional Laplacian
- Global Hölder regularity for the fractional \(p\)-Laplacian
- Comparison and regularity results for the fractional Laplacian via symmetrization methods
- A characteristic property of spheres
- Nonlinear scalar field equations. I: Existence of a ground state
- Symmetry and related properties via the maximum principle
- Maximum principles for the fractional p-Laplacian and symmetry of solutions
- Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains
- Nonlocal self-improving properties
- A class of integral equations and approximation of \(p\)-Laplace equations
- The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
- Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
- A symmetry problem in potential theory
- Indefinite fractional elliptic problem and Liouville theorems
- Existence and symmetry results for a Schr\"odinger type problem involving the fractional Laplacian
- Nonlocal Operators with Applications to Image Processing
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- Financial Modelling with Jump Processes
- RADIAL SYMMETRY OF POSITIVE SOLUTIONS TO EQUATIONS INVOLVING THE FRACTIONAL LAPLACIAN
- An Extension Problem Related to the Fractional Laplacian
- Symmetric ground state solution for a non-linear Schrödinger equation with non-local regional diffusion
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
- Symmetry via antisymmetric maximum principles in nonlocal problems of variable order
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