Results 21 to 30 of about 1,283,435 (290)
Asymptotic behavior of solutions of fully nonlinear equations over exterior domains
Comptes Rendus. Mathématique, 2021 In this paper, we consider the asymptotic behavior at infinity of solutions of a class of fully nonlinear elliptic equations $F(D^2u)=f(x)$ over exterior domains, where the Hessian matrix $(D^2u)$ tends to some symmetric positive definite matrix at ...
Jia, Xiaobiao
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Determinants of Laplacians in Exterior Domains
, 1999 We consider classes of simply connected planar domains which are isophasal, ie, have the same scattering phase $s(ł)$ for all $ł> 0$. This is a scattering-theoretic analogue of isospectral domains. Using the heat invariants and the determinant of the Laplacian, Osgood, Phillips and Sarnak showed that each isospectral class is sequentially compact in
Hassell, Andrew, Zelditch, Steve
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The Landis–Oleinik conjecture in the exterior domain
Advances in Mathematics, 2016 In [Russ. Math. Surv. 29, No. 2, 15--212 (1974; Zbl 0305.35014)] \textit{E. M. Landis} and \textit{O. A. Olejnik} proposed the following conjecture: If \(u(x, t)\) is a bounded solution of a uniformly parabolic equation \[ \sum_{i,j=1}^n \partial_i\big(a^{ij}(x)\partial_ju\big)+ b(x)\cdot\nabla u+c(x)u-\partial_t u=0\quad \text{in }\mathbb{R}^n\times[0,
Wu, Jie, Zhang, Liqun
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Multiple Positive Solutions of Semilinear Elliptic Problems in Exterior Domains
Boundary Value Problems, 2010 Assume that is a positive continuous function in and satisfies the suitable conditions. We prove that the Dirichlet problem admits at least three positive solutions in an exterior domain.
Hsu Tsing-San, Lin Huei-Li
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Harmonic Liouville Theorem for Exterior Domains
Journal of Mathematical Analysis and Applications, 2001 The authors have represented the simple function theoretic proof of a Liouville type theorem for harmonic functions in \(\mathbb{C}\). Moreover this variant of the theorem sligthly generalizes the theorem that has been obtained by F. Cammaroto and A. Chinni.
Nakai, Mitsuru, Tada, Toshimasa
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Journal of Rock Mechanics and Geotechnical Engineering, 2020 Analysis of soil-structure interaction is commonly conducted by dividing the infinite domain of the soil into two domains: interior and exterior domains.
Dong Van Nguyen, Dookie Kim
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Existence and nonexistence for singular sublinear problems on exterior domains
Electronic Journal of Differential Equations, 2021 In this article we study the existence of radial solutions of $\Delta u + K(|x|)f(u)= 0$ on the exterior of the ball of radius R>0 centered at the origin in $\mathbb{R}^N$ with u=0 on $\partial B_{R}$, and $\lim_{|x| \to \infty} u(x)=0$ where N>2, $
Mageed Ali, Joseph A. Iaia
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Patients with chronic kidney disease undergoing hemodialysis commonly experience reduced physical function, fatigue, poor sleep quality, and impaired health‐related quality of life. Intradialytic exercise has been proposed as a non‐pharmacological strategy to improve these outcomes.
Klebson da Silva Almeida +6 more
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FEBS Letters, EarlyView.Septin 9 polybasic domains couple phosphoinositide‐rich membrane binding to centrosome positioning, Golgi organization, and microtubule acetylation to control epithelial polarity. Their loss disrupts this axis, causing centrosome mispositioning, Golgi fragmentation, reduced microtubule acetylation, and polarity inversion via upregulation of the ...
Ting ting Cai +4 more
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Stabilization of Schrödinger equation in exterior domains [PDF]
, 2007 We prove uniform local energy estimates of solutions to the damped Schrödinger equation in exterior domains under the hypothesis of the Exterior Geometric Control.
Aloui, Lassaad +3 more
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