Results 111 to 120 of about 16,726 (202)
Bifurcations for semilinear elliptic equations with convex nonlinearity
Electronic Journal of Differential Equations, 1999 We investigate the exact number of positive solutions of the semilinear Dirichlet boundary value problem $Delta u+f(u) = 0$ on a ball in ${mathbb R}^n$ where $f$ is a strictly convex $C^2$ function on $[0,infty)$. For the one-dimensional case we classify
J. Karatson, Peter L. Simon
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Semilinear elliptic equations with dependence on the gradient
Electronic Journal of Differential Equations, 2012 In this article we consider elliptic equations whose nonlinear term depends on the gradient of the unknown. We assume that the nonlinearity has a asymptotically linear growth at zero and at infinity with respect to the second variable.
Guanggang Liu, Shaoyun Shi, Yucheng Wei
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Impulsive fractional order integrodifferential equation via fractional operators. [PDF]
PLoS One, 2023 Al-Omari A, Al-Saadi H.
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An inverse boundary-value problem for semilinear elliptic equations
Electronic Journal of Differential Equations, 2010 We show that in dimension two or greater, a certain equivalence class of the scalar coefficient $a(x,u)$ of the semilinear elliptic equation $Delta u,+a(x,u)=0$ is uniquely determined by the Dirichlet to Neumann map of the equation on a bounded ...
Ziqi Sun
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Operator compression with deep neural networks. [PDF]
Adv Contin Discret Model, 2022 Kröpfl F, Maier R, Peterseim D.
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Multiplicity results for nonlinear elliptic equations
Electronic Journal of Differential Equations, 2006 Let $Omega$ be a bounded domain in $mathbb{R}^{N}$, $Ngeq 3$, and $p=frac{2N}{N-2}$ the limiting Sobolev exponent. We show that for $fin H^1_0(Omega)^ast$, satisfying suitable conditions, the nonlinear elliptic problem $$displaylines{ -Delta u =|u |^{ p ...
Samira Benmouloud +2 more
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Elastic anisotropy in the reduced Landau-de Gennes model. [PDF]
Proc Math Phys Eng Sci, 2022 Han Y, Harris J, Majumdar A, Zhang L.
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Some remarks on biharmonic elliptic problems with positive, increasing and convex nonlinearities
Electronic Journal of Differential Equations, 2005 We study the existence of positive solutions for a fourth order semilinear elliptic equation under Navier boundary conditions with positive, increasing and convex source term. Both bounded and unbounded solutions are considered. When compared with second
Filippo Gazzola, Elvise Berchio
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On the Normal Stability of Triharmonic Hypersurfaces in Space Forms. [PDF]
J Geom Anal, 2023 Branding V.
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