Search Results - "Shakerian, Shaya"
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1
Mass and Extremals Associated with the Hardy–Schrödinger Operator on Hyperbolic Space
Published in Advanced nonlinear studies (01-11-2018)“…We consider the Hardy–Schrödinger operator Lγ:=-Δ𝔹n-γV2{L_{\gamma}:=-\Delta_{\mathbb{B}^{n}}-\gamma{V_{2}}} on the Poincaré ball model of the hyperbolic…”
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2
Sharp pointwise estimates for weighted critical p-Laplace equations
Published in Nonlinear analysis (01-05-2021)“…We investigate the asymptotic behavior of solutions to a class of weighted quasilinear elliptic equations which arise from the Euler–Lagrange equation…”
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3
Mass and asymptotics associated to fractional Hardy-Schrödinger operators in critical regimes
Published in Communications in partial differential equations (03-06-2018)“…We consider linear and non-linear boundary value problems associated to the fractional Hardy-Schrödinger operator on domains of containing the singularity 0,…”
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4
Existence Result for Non-linearly Perturbed Hardy-Schr\"odinger Problems: Local and Non-local cases
Published 23-11-2017“…Let $\Omega \subset \mathbb{R}^n$ be a smooth bounded domain having zero in its interior $0 \in \Omega.$ We fix $0 < \alpha \le 2$ and $0 \le s <\alpha.$ We…”
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5
Multiple Positive Solutions for Nonlocal Elliptic Problems Involving the Hardy Potential and Concave-Convex Nonlinearities
Published 04-08-2017“…In this paper, we study the existence and multiplicity of solutions for the following fractional problem involving the Hardy potential and concave-convex…”
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6
Sharp pointwise estimates for weighted critical $p$-Laplace equations
Published 23-12-2019“…Nonlinear Analysis: Theory, Methods & Applications 206 (2021), 112236 We investigate the asymptotic behavior of solutions to a class of weighted quasilinear…”
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7
Borderline variational problems involving fractional Laplacians and critical singularities
Published 27-03-2015“…We consider the problem of attainability of the best constant in the following critical fractional Hardy-Sobolev inequality: \begin{equation*}…”
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8
A variational problem associated to a hyperbolic Caffarelli--Kohn--Nirenberg inequality
Published 16-11-2017“…We prove a Caffarelli--Kohn--Nirenberg inequality in the hyperbolic space. For a semilinear elliptic equation involving the associated weighted…”
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9
Mass and Asymptotics associated to Fractional Hardy-Schr\"odinger Operators in Critical Regimes
Published 27-04-2017“…We consider linear and non-linear boundary value problems associated to the fractional Hardy-Schr\"odinger operator $ L_{\gamma,\alpha}: = ({-}{…”
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10
Mass and Extremals Associated with the Hardy-Schr\"odinger Operator on Hyperbolic Space
Published 03-10-2017“…We consider the Hardy-Schr\"odinger operator $ -\Delta_{\mathbb{B}^n}-\gamma{V_2}$ on the Poincar\'e ball model of the Hyperbolic space ${\mathbb{B}^n}$ ($n…”
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