Qualitative properties of singular solutions to semilinear elliptic problems
From MaRDI portal
Publication:1753204
DOI10.1016/j.jde.2018.04.030zbMath1394.35188arXiv1802.02809OpenAlexW2963960558WikidataQ129968163 ScholiaQ129968163MaRDI QIDQ1753204
Berardino Sciunzi, Francesco Esposito, Alberto Farina
Publication date: 28 May 2018
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.02809
Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Symmetries, invariants, etc. in context of PDEs (35B06)
Related Items
Symmetry and monotonicity of singular solutions of double phase problems ⋮ Asymptotic behavior and existence of solutions for singular elliptic equations ⋮ Monotonicity and symmetry of singular solutions to quasilinear problems ⋮ Doubly singular elliptic equations involving a gradient term: symmetry and monotonicity ⋮ 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 ⋮ Notes on overdetermined singular problems ⋮ Fundamental properties and asymptotic shapes of the singular and classical radial solutions for supercritical semilinear elliptic equations ⋮ Symmetry of positive solutions to the coupled fractional system with isolated singularities ⋮ 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 ⋮ Existence and multiplicity of positive solutions for a class of quasilinear Schrödinger equations in \(\mathbb{R}^N\) ⋮ A symmetry result for elliptic systems in punctured domains ⋮ Positive solutions to discontinuous quasilinear problems with critical exponents
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and uniqueness for \(p\)-Laplace equations involving singular nonlinearities
- A characteristic property of spheres
- Symmetry and related properties via the maximum principle
- Existence and approximation of solutions of non-linear elliptic equations
- Remarks on the Schrödinger operator with singular complex potentials
- On positive entire solutions to a class of equations with a singular coefficient and critical exponent
- On the moving plane method for singular solutions to semilinear elliptic equations
- Semilinear elliptic equations with singular nonlinearities
- The moving plane method for singular semilinear elliptic problems
- Symmetry of solutions of some semilinear elliptic equations with singular nonlinearities
- A symmetry problem in potential theory
- On singular elliptic equations with measure sources
- A uniqueness result for some singular semilinear elliptic equations
- On a Singular Nonlinear Elliptic Boundary-Value Problem
- On a dirichlet problem with a singular nonlinearity
- On the method of moving planes and the sliding method
- Variational Methods
