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
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The existence of positive solutions for Kirchhoff-type problems via the sub-supersolution method
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 In this paper we discuss the existence of a solution between wellordered subsolution and supersolution of the Kirchhoff equation. Using the sub-supersolution method together with a Rabinowitz-type global bifurcation theory, we establish the existence of ...
Yan Baoqiang +2 more
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Convexity Property of Finsler Infinity Harmonic Functions
International Journal of Differential Equations, Volume 2024, Issue 1, 2024.In this paper, we investigate the convexity property of viscosity solutions to a homogeneous normalized Finsler infinity Laplacian equation. Weak and strong forms for convexity property have been addressed.
Benyam Mebrate, Sining Zheng
wiley +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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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
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The Dirichlet problem for fully nonlinear degenerate elliptic equations with a singular nonlinearity
, 2019 We investigate the homogeneous Dirichlet problem in uniformly convex domains for a large class of degenerate elliptic equations with singular zero order term.
Birindelli, Isabeau, Galise, Giulio
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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
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Fractional Dirichlet problems with singular and non-locally convective reaction
Advances in Nonlinear AnalysisIn this article, the existence of positive weak solutions to a Dirichlet problem driven by the fractional (p,q)\left(p,q)-Laplacian and with reaction both weakly singular and non-locally convective (i.e., depending on the distributional Riesz gradient of
Gambera Laura, Marano Salvatore A.
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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
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 Let Ω be a bounded domain in with smooth boundary, and let 𝓧1; 𝓧2; · · ·, 𝓧m be points in Ω. We are concerned with the singular stationary non-homogenous q-Kuramoto-Sivashinsky eaquation (q-KSE:
Ouni Taieb +2 more
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