Results 81 to 90 of about 440,485 (323)
On mixed local–nonlocal problems with Hardy potential
Proceedings of the Royal Society of Edinburgh: Section A MathematicsAbstract In this article, we study the effect of the Hardy potential on existence, uniqueness, and optimal summability of solutions of the mixed local–nonlocal elliptic problem \begin{equation*}-\Delta u + (-\Delta)^s u - \gamma \frac{u}{|x|^2}=f \,\text{in } \Omega, \ u=0 \,\text{in } {\mathbb R}^n \setminus \Omega,\end{equation*}
Stefano Biagi +3 more
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Agribusiness, EarlyView.ABSTRACT Native plants offer a variety of aesthetic (e.g., fall colour, fruit, flowers) and functional benefits (e.g., pollinator friendly, wildlife friendly, water management). How these benefits influence consumer choice and perceived value of native versus introduced plants is not well understood.
Alicia Rihn +3 more
wiley +1 more source
EIGENVALUE PROBLEM OF BIHARMONIC EQUATION WITH HARDY POTENTIAL [PDF]
Journal of the Korean Mathematical Society, 2010 In this paper, we consider the eigenvalue problem of bihar- monic equation with Hardy potential. We improve the results of refer- ences by introducing a new Hilbert space.
Yangxin Yao, Shaotong He, Qingtang Su
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, 2015 We prove the existence, qualitative properties and asymptotic behavior of positive solutions to the doubly critical problem $$ (-\Delta)^s u=\vartheta\frac{u}{|x|^{2s}}+u^{2_s^*-1}, \quad u\in \dot{H}^s(\mathbb{R}^N).$$ The technique that we use to prove
Dipierro, Serena +3 more
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Annals of Gastroenterological Surgery, EarlyView.ABSTRACT Background With population aging and extended healthy life expectancy, the management of acute cholecystitis (AC) in patients aged ≥ 85 years has evolved. However, the Tokyo Guidelines 2018 (TG18) for AC provide no specific risk assessment criteria for this population.
Yuta Kobayashi +9 more
wiley +1 more source
Doubly critical problems involving Sub-Laplace operator on Carnot group
Electronic Research ArchiveThis paper was focused on the solvability of a class of doubly critical sub-Laplacian problems on the Carnot group $ \mathbb{G} $: \begin{document}$ -\Delta_{\mathbb{G}}u-\mu \frac{\psi^{2}(\xi) u }{\text{d}(\xi)^2} = \vert u\vert^{p-2}u +\psi ...
Shuhai Zhu
doaj +1 more source
Potential operators associated with Jacobi and Fourier-Bessel expansions [PDF]
, 2013 We study potential operators (Riesz and Bessel potentials) associated with classical Jacobi and Fourier-Bessel expansions. We prove sharp estimates for the corresponding potential kernels.
Nowak, Adam, Roncal, Luz
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, 2008 Let $\Omega$ be a bounded domain in $R^n$ with $C^2$-smooth boundary of co-dimension 1, and let $H=-\Delta +V(x)$ be a Schr\"odinger operator on $\Omega$ with potential V locally bounded.
Nenciu, Gh., Nenciu, I.
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American Journal of Botany, EarlyView.Abstract Premise Understanding how plant populations adapt to water limitation through stomatal traits is key to predicting drought responses. The dominant C4 grass Andropogon gerardi, distributed across sharp climate gradients in North America, offers an excellent focal species to study stomatal architecture (size and density).
Jack Sytsma +6 more
wiley +1 more source
Unique continuation property and local asymptotics of solutions to fractional elliptic equations [PDF]
, 2013 Asymptotics of solutions to fractional elliptic equations with Hardy type potentials is studied in this paper. By using an Almgren type monotonicity formula, separation of variables, and blow-up arguments, we describe the exact behavior near the ...
Fall, Mouhamed Moustapha, Veronica Felli
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