The Hardy potential and eigenvalue problems [PDF]
Opuscula Mathematica, 2011 We establish the existence of principal eigenfunctions for the Laplace operator involving weighted Hardy potentials. We consider the Dirichlet and Neumann boundary conditions.
Jan Chabrowski
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A double phase problem involving Hardy potentials [PDF]
Applied Mathematics & Optimization, 2020 In this paper, we deal with the following double phase problem $$ \left\{\begin{array}{ll} -\mbox{div}\left(|\nabla u|^{p-2}\nabla u+a(x)|\nabla u|^{q-2}\nabla u\right)= \left(\displaystyle\frac{|u|^{p-2}u}{|x|^p}+a(x)\displaystyle\frac{|u|^{q-2}u}{|x|^q}\right)+f(x,u) & \mbox{in } ,\\ u=0 & \mbox{in } \partial , \end{array} \right ...
Alessio Fiscella
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Hyperbolic inequalities with a Hardy potential singular on the boundary of an annulus
AIMS Mathematics, 2023 We are concerned with the study of existence and nonexistence of weak solutions for a class of hyperbolic inequalities with a Hardy potential singular on the boundary $ \partial B_1 $ of the annulus $ A = \left\{x\in \mathbb{R}^3: 1 < |x|\leq 2\right\}
Ibtehal Alazman +3 more
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On nonlinear fractional Schrodinger equation with indefinite potential and Hardy potential [PDF]
, 2022 This paper is concerned with a class of fractional Schr\”{o}dinger equation with Hardy potential \begin{equation}\nonumber (-\Delta)^{s}u+V(x)u-\frac{\kappa}{|x|^{2s}}u=f(x,u),~~x\in \mathbb{R}^{N}, \end{equation} where $s\in(0,1)$ and $\kappa\geq0$ is a parameter.
Heilong Mi, Wen Zhang, Fangfang Liao
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Weighted Hardy and Potential Operators in Morrey Spaces [PDF]
Journal of Function Spaces and Applications, 2012 We study the weighted p→q-boundedness of Hardy-type operators in Morrey spaces ℒp,λ(ℝn) (or ℒp,λ(ℝ+1) in the one-dimensional case) for a class of almost monotonic weights.
Natasha Samko
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ON AN EIGENVALUE PROBLEM INVOLVING THE HARDY POTENTIAL [PDF]
Communications in Contemporary Mathematics, 2010 In this note we consider the eigenvalue problem for the Laplacian with the Neumann and Robin boundary conditions involving the Hardy potential. We prove the existence of eigenfunctions of the second eigenvalue for the Neumann problem and of the principal eigenvalue for the Robin problem in "high" dimensions.
J. Chabrowski +2 more
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Elliptic Equations with Hardy Potential and Gradient-Dependent Nonlinearity
Advanced Nonlinear Studies, 2020 Let Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}} (N≥3{N\geq 3}) be a C2{C^{2}} bounded domain, and let δ be the distance to ∂Ω{\partial\Omega}. We study equations (E±){(E_{\pm})}, -Lμu±g(u,|∇u|)=0{-L_{\mu}u\pm g(u,\lvert\nabla u\rvert)=0} in Ω, where Lμ=Δ+μδ2 ...
Gkikas Konstantinos T., Nguyen Phuoc-Tai
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Existence of triple solutions for elliptic equations driven by p-Laplacian-like operators with Hardy potential under Dirichlet–Neumann boundary conditions [PDF]
Boundary Value Problems, 2023 In this article, we focus on triple weak solutions for some p-Laplacian-type elliptic equations with Hardy potential, two parameters, and mixed boundary conditions.
Jian Liu, Zengqin Zhao
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Structure Results for Semilinear Elliptic Equations with Hardy Potentials [PDF]
Advanced Nonlinear Studies, 2018 We prove structure results for the radial solutions of the semilinear ...
Franca Matteo, Garrione Maurizio
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Postharvest Potential of Cold-hardy Table Grapes
HortScience, 2022 The University of Minnesota Grape Breeding Program has developed cold-hardy wine grape cultivars that have facilitated the establishment of an economically important grape industry for the Midwest region.
Erin L. Treiber +2 more
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