Fractional parabolic problems with a nonlocal initial condition
Moroccan Journal of Pure and Applied Analysis, 2017 In this work we will consider a class of non local parabolic problems with nonlocal initial condition, more precisely we deal with the ...
Abdellaoui B. +2 more
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Cold Hardiness Potential of Ten Hydrangea Taxa [PDF]
Journal of Environmental Horticulture, 2002 Abstract Nine Hydrangea macrophylla (Thunb.) Ser. and one H. serrata (Thunb. ex J.A. Murr.) Ser. cultivars were evaluated for midwinter cold hardiness, acclimation, and deacclimation to identify cultivars with increased cold tolerance. Hydrangea macrophylla ‘Endless Summer’, ‘Mariesii Variegata’, and ‘Veitchii’ acclimated later than all other ...
Jeffrey A. Adkins +2 more
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Solutions for semilinear elliptic problems with critical Sobolev–Hardy exponents and Hardy potential
Applied Mathematics Letters, 2005 The authors consider the problem \[ -\Delta u - \mu {u\over{| x| ^2}} = {{| u| ^{2^*(s)-2}}\over{| x| ^s}}u + \lambda u \quad\text{in}\quad \Omega, \qquad u = 0 \quad\text{on}\quad \partial\Omega, \leqno(*) \] where \(\Omega\) is a smooth bounded domain in \({\mathbb R}^N\), \(N\geq 3\), containing the origin, \(\lambda>0\), \(0\leq \mu < \bar\mu=(N-2)^
Kang, Dongsheng, Peng, Shuangjie
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Bessel potentials and optimal Hardy and Hardy-Rellich inequalities
, 2007 35 pages.
Ghoussoub, Nassif, Moradifam, Amir
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A Discrete Hardy-Laptev-Weidl-Type Inequality and Associated Schrödinger-Type Operators [PDF]
, 2009 Although the classical Hardy inequality is valid only in the three- and higher dimensional case, Laptev and Weidl established a two-dimensional Hardy-type inequality for the magnetic gradient with an Aharonov-Bohm magnetic potential.
Evans, W. Desmond, Schmidt, Karl Michael
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Symmetry of standing waves for two kinds of fractional Hardy-Schrödinger equations
Alexandria Engineering Journal, 2021 In this paper, we consider two kinds of nonlinear Schrödinger equations with the fractional Laplacian and Hardy potential (λ|x|s ...
Guotao Wang +3 more
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Elliptic problems with critical exponents and Hardy potentials
Journal of Differential Equations, 2003 The paper deals with the existence of solutions of the nonlinear elliptic problem: \[ -\Delta u(x)- \lambda u(x)-\mu \frac{u(x)}{|x|^2}= (a(x))^{2^*-1}, \;x\in\Omega, \qquad u(x)>0, \;x\in\Omega, \qquad x(0)=0, \;x\in\partial\Omega, \] where \(\Omega\) denotes an open set containing the origin, bounded or not, of \(\mathbb R^N\) with \(N\geq 4\).
Ruiz, D., Willem, M.
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Hardy Hibiscus for Florida Landscapes
EDIS, 2005 Hardy hibiscus are an overlooked group of perennials with tremendous potential for the landscape. Hardy hibiscus are herbaceous perennial members of the genus, Hibiscus.
Gary W. Knox, Rick Schoellhorn
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"Boundary blowup" type sub-solutions to semilinear elliptic equations with Hardy potential
, 2007 Semilinear elliptic equations which give rise to solutions blowing up at the boundary are perturbed by a Hardy potential. The size of this potential effects the existence of a certain type of solutions (large solutions): if the potential is too small ...
Bandle, Catherine +2 more
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On nonexistence of Baras--Goldstein type for higher-order parabolic equations with singular potentials [PDF]
, 2009 An analogy of nonexistence result by Baras and Goldstein (1984), for the heat equation with inverse singular potential, is proved for 2mth-order linear parabolic equations with Hardy-supercritical singular potentials.
Galaktionov, V. A., Kamotski, I. V.
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