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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Impulsive fractional order integrodifferential equation via fractional operators. [PDF]
PLoS One, 2023 Al-Omari A, Al-Saadi H.
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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 $$displaylines{ -Delta u =|u |^{ p ...
Samira Benmouloud +2 more
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Elastic anisotropy in the reduced Landau-de Gennes model. [PDF]
Proc Math Phys Eng Sci, 2022 Han Y, Harris J, Majumdar A, Zhang L.
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Some remarks on biharmonic elliptic problems with positive, increasing and convex nonlinearities
Electronic Journal of Differential Equations, 2005 We study the existence of positive solutions for a fourth order semilinear elliptic equation under Navier boundary conditions with positive, increasing and convex source term. Both bounded and unbounded solutions are considered. When compared with second
Filippo Gazzola, Elvise Berchio
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On the Normal Stability of Triharmonic Hypersurfaces in Space Forms. [PDF]
J Geom Anal, 2023 Branding V.
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Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations. [PDF]
Proc Math Phys Eng Sci, 2020 Hutzenthaler M +4 more
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Existence of infinitely many solutions for semilinear elliptic equations
Electronic Journal of Differential Equations, 2016 In this article, we study the existence and infinitely many solutions for the elliptic boundary-value problem $$\displaylines{ -\Delta u+a(x)u=f(x,u) \quad\text{in }\Omega, \cr u=0 \quad\text{on }\partial\Omega.
Hui-Lan Pan, Chun-Lei Tang
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Numerical Approaches for Recovering the Deformable Membrane Profile of Electrostatic Microdevices for Biomedical Applications. [PDF]
Sensors (Basel), 2023 Versaci M, Morabito FC.
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A proof of validity for multiphase Whitham modulation theory. [PDF]
Proc Math Phys Eng Sci, 2020 Bridges TJ, Kostianko A, Schneider G.
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