Results 11 to 20 of about 16,079 (267)
Biharmonic problem in exterior domains
Comptes Rendus. Mathématique, 2003 We study here a biharmonic equation in an exterior domain of ℝ n . We give in L p
Amrouche, Chérif, Fontes, Mathieu
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Existence for semilinear equations on exterior domains
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper we study radial solutions of $\Delta u + K(r)f(u)= 0$ on the exterior of the ball of radius $R>0$ centered at the origin in ${\mathbb R}^{N}$ where $f$ is odd with $f0$ on $(\beta, \infty),$ and $f$ superlinear.
Joseph Iaia
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The Dirichlet Problem of Hessian Equation in Exterior Domains
Mathematics, 2020 In this paper, we will obtain the existence of viscosity solutions to the exterior Dirichlet problem for Hessian equations with prescribed asymptotic behavior at infinity by the Perron’s method. This extends the Ju–Bao results on Monge–Ampère equations
Hongfei Li, Limei Dai
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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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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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SOLVABILITY OF QUASILINEAR MAXWELL EQUATIONS IN EXTERIOR DOMAINS
Journal of Applied Analysis & Computation, 2023 Summary: In this paper we consider some \(\mathrm{q}\)-curl-curl equations with lack of compactness. Our analysis is developed in the abstract setting of exterior domains. We first recall a decomposition of curl-free space based on \(L^r \)-Helmholtz-Weyl decomposition in exterior domains. Then by reducing the original system into a div-curl system and
Shen, Zifei, Zhang, Shuijin
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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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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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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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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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