Uniqueness for fractional parabolic and elliptic equations with drift [PDF]
arXiv, 2022 We investigate uniqueness, in suitable weighted Lebesgue spaces, of solutions to a class of fractional parabolic and elliptic equations with a drift.
arxiv
A note on the complete rotational invariance of biradial solutions to semilinear elliptic equations
, 2010 We investigate symmetry properties of solutions to equations of the form $$ -\Delta u = \frac{a}{|x|^2} u + f(|x|, u)$$ in R^N for $N \geq 4$, with at most critical nonlinearities.
Abatangelo, L., Terracini, S.
core +1 more source
Classification of solutions to $Δu = u^{-γ}$ in the half-space [PDF]
arXiv, 2023 We provide a classification result for positive solutions to $\Delta u = u^{-\gamma}$ in the half space, under zero Dirichlet boundary condition.
arxiv
Multiple Aharonov--Bohm eigenvalues: the case of the first eigenvalue on the disk
, 2018 It is known that the first eigenvalue for Aharonov--Bohm operators with half-integer circulation in the unit disk is double if the potential's pole is located at the origin. We prove that in fact it is simple as the pole $a\neq 0$
Abatangelo, Laura
core +1 more source
Structure Results for Semilinear Elliptic Equations with Hardy Potentials
Advanced Nonlinear Studies, 2018 We prove structure results for the radial solutions of the semilinear ...
Franca Matteo, Garrione Maurizio
doaj +1 more source
Non-degeneracy of Gauss curvature equation with negative conic singularity [PDF]
Pacific J. Math. 297 (2018) 455-475, 2017 We study the Gauss curvature equation with negative singularities. For a local mean field type equation with only one negative index we prove a uniqueness property. For a global equation with one or two negative indexes we prove the non-degeneracy of the linearized equations.
arxiv +1 more source
A uniqueness result for the fractional Schrödinger-Poisson system with strong singularity
Open MathematicsThis article considers existence of solution for a class of fractional Schrödinger-Poisson system. By using the Nehari method and the variational method, we obtain a uniqueness result for positive solutions.
Wang Li +4 more
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The Moving Plane Method for Doubly Singular Elliptic Equations Involving a First-Order Term
Advanced Nonlinear Studies, 2021 In this paper we deal with positive singular solutions to semilinear elliptic problems involving a first-order term and a singular nonlinearity. Exploiting a fine adaptation of the well-known moving plane method of Alexandrov–Serrin and a careful choice ...
Esposito Francesco, Sciunzi Berardino
doaj +1 more source
On the leading term of the eigenvalue variation for Aharonov-Bohm operators with a moving pole
, 2015 We study the behavior of eigenvalues for magnetic Aharonov-Bohm operators with half-integer circulation and Dirichlet boundary conditions in a planar domain. We analyse the leading term in the Taylor expansion of the eigenvalue function as the pole moves
Abatangelo, Laura, Felli, Veronica
core +1 more source
On critical elliptic problems with singular Trudinger-Moser nonlinearities [PDF]
arXiv, 2020 We establish some existence results for a class of critical elliptic problems with singular exponential nonlinearities. We do not assume any global sign conditions on the nonlinearity, which makes our results new even in the nonsingular case.
arxiv