Results 91 to 100 of about 1,917 (133)
Advances in Nonlinear Analysis, 2014 In this paper, for more general f, g and a, b, we obtain conditions about the existence and boundary behavior of solutions to boundary blow-up elliptic problems ▵u=a(x)g(u)+b(x)f(u)|∇u|q,x∈Ω,u|∂Ω=+∞$ \triangle u=a(x)g(u)+ b(x) f(u)|\nabla u|^q,\quad x\in
Zhang Zhijun
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Advanced Nonlinear Studies, 2023 We consider the asymptotic behavior of solutions to the Monge-Ampère equations with slow convergence rate at infinity and fulfill previous results under faster convergence rate by Bao et al. [Monge-Ampère equation on exterior domains, Calc. Var PDE.
Liu Zixiao, Bao Jiguang
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Hypersurfaces of Prescribed Gauss Curvature in Exterior Domains
, 2001 We prove an existence theorem for convex hypersurfaces of prescribed Gauss curvature in the complement of a compact set in Euclidean space which are close to a cone.Comment: 15 pages, LaTeX (published ...
Finster, Felix, Schnuerer, Oliver C.
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On the first Dirichlet Laplacian eigenvalue of regular Polygons
, 2014 The Faber-Krahn inequality in $\mathbb{R}^2$ states that among all open bounded sets of given area the disk minimizes the first Dirichlet Laplacian eigenvalue.
Nitsch, Carlo
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An elliptic equation with an indefinite sublinear boundary condition
Advances in Nonlinear Analysis, 2016 We investigate the ...
Ramos Quoirin Humberto, Umezu Kenichiro
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A transmission problem on a polygonal partition: regularity and shape differentiability
, 2018 We consider a transmission problem on a polygonal partition for the two-dimensional conductivity equation. For suitable classes of partitions we establish the exact behaviour of the gradient of solutions in a neighbourhood of the vertexes of the ...
Beretta, Elena +2 more
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Symmetries, Hopf fibrations and supercritical elliptic problems
, 2015 We consider the semilinear elliptic boundary value problem \[ -\Delta u=\left\vert u\right\vert ^{p-2}u\text{ in }\Omega,\text{\quad }u=0\text{ on }\partial\Omega, \] in a bounded smooth domain $\Omega$ of $\mathbb{R}^{N}$ for supercritical exponents $p>\
Clapp, Mónica, Pistoia, Angela
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, 2011 This article is devoted to computing the lower and upper bounds of the Laplace eigenvalue problem. By using the special nonconforming finite elements, i.e., enriched Crouzeix-Raviart element and extension $Q_1^{\rm rot}$, we get the lower bound of the ...
C. Yao +25 more
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Simulating accurate and effective solutions of some nonlinear nonlocal two-point BVPs: Clique and QLM-clique matrix methods. [PDF]
Heliyon, 2023 Izadi M, Singh J, Noeiaghdam S.
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Diffusive logistic equations with harvesting and heterogeneity under strong growth rate
Advances in Nonlinear Analysis, 2017 We consider the ...
Shabani Rokn-e-vafa Saeed +1 more
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