Qualitative properties of singular solutions to nonlocal problems
From MaRDI portal
Publication:1647880
DOI10.1007/s10231-017-0710-zzbMath1391.35384OpenAlexW2766826216MaRDI QIDQ1647880
Luigi Montoro, Fabio Punzo, Berardino Sciunzi
Publication date: 27 June 2018
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-017-0710-z
Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Symmetries, invariants, etc. in context of PDEs (35B06) Integro-partial differential equations (35R09) Comparison principles in context of PDEs (35B51)
Related Items (10)
Qualitative properties of singular solutions to fractional elliptic equations ⋮ Symmetry and monotonicity of singular solutions of double phase problems ⋮ Fractional Hardy equations with critical and supercritical exponents ⋮ A symmetry result for cooperative elliptic systems with singularities ⋮ Qualitative properties of solutions to the Dirichlet problem for a Laplace equation involving the Hardy potential with possibly boundary singularity ⋮ Semilinear elliptic equations involving mixed local and nonlocal operators ⋮ Monotonicity of Positive Solutions to − Δp u + a(u)|∇u|q = f(u) in the Half-Plane in the Case $$p\leqslant 2$$ ⋮ The moving plane method for doubly singular elliptic equations involving a first-order term ⋮ Symmetry and monotonicity properties of singular solutions to some cooperative semilinear elliptic systems involving critical nonlinearities ⋮ A symmetry result for elliptic systems in punctured domains
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hitchhiker's guide to the fractional Sobolev spaces
- Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential
- A characteristic property of spheres
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- A density property for fractional weighted Sobolev spaces
- Fractional Laplacian phase transitions and boundary reactions: a geometric inequality and a symmetry result
- Symmetry and related properties via the maximum principle
- On the moving plane method for nonlocal problems in bounded domains
- Qualitative properties of solutions for an integral equation
- On positive entire solutions to a class of equations with a singular coefficient and critical exponent
- The fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open sets
- On the moving plane method for singular solutions to semilinear elliptic equations
- Asymptotic symmetry for a class of nonlinear fractional reaction-diffusion equations
- Existence and qualitative properties of solutions to a quasilinear elliptic equation involving the Hardy-Leray potential
- Radial symmetry and monotonicity for an integral equation
- A symmetry problem in potential theory
- Existence and symmetry results for a Schr\"odinger type problem involving the fractional Laplacian
- From the long jump random walk to the fractional Laplacian
- Regularity of the obstacle problem for a fractional power of the laplace operator
- On the method of moving planes and the sliding method
- RADIAL SYMMETRY OF POSITIVE SOLUTIONS TO EQUATIONS INVOLVING THE FRACTIONAL LAPLACIAN
- Classification of solutions for an integral equation
- Nonlinear equations for fractional Laplacians II: Existence, uniqueness, and qualitative properties of solutions
- Symmetry via antisymmetric maximum principles in nonlocal problems of variable order
This page was built for publication: Qualitative properties of singular solutions to nonlocal problems
