Isolated singularity for semilinear elliptic equations
, 2015 In this paper, we study a class of semilinear elliptic equations with the Hardy potential. By means of the super-subsolution method and the comparison principle, we explore the existence of a minimal positive solution and a maximal positive solution.
Lei Wei, Zhaosheng Feng
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A priori bounds for positive solutions of a semilinear elliptic equation [PDF]
, 1985 Chris Cosner, Klaus Schmitt
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Semilinear elliptic equations on unbounded domains
Mathematische Zeitschrift, 1985 On presente une nouvelle approche variationnelle a l'existence des solutions pour le probleme aux valeurs limites: −Δu-λu=r(x)f(u(x)), x∈Ω, x∈H 0 1 (Ω) sur des domaines non bornes ...
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Oscillation criteria for semilinear elliptic equations with a damping term in R^n
Electronic Journal of Differential Equations, 2010 We use a method based on Picone-type identities to find oscillation conditions for the equation $$ sum_{i j =1}^n frac{partial}{partial x_i} Big( a_{ij}(x) frac{partial}{partial x_j} Big)u + f(x,u, abla u) + c(x) u =0,, $$ with Dirichlet boundary ...
Tadie
doaj
Tracking and blind deconvolution of blood alcohol concentration from transdermal alcohol biosensor data: A population model-based LQG approach in Hilbert space. [PDF]
Automatica (Oxf), 2023 Yao M, Luczak SE, Rosen IG.
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Comparison results for semilinear elliptic equations via Picone-type identities
Electronic Journal of Differential Equations, 2009 By means of a Picone's type identity, we prove uniqueness and oscillation of solutions to an elliptic semilinear equation with Dirichlet boundary conditions.
Tadie
doaj
Uniqueness of Solutions to Nonlinear Schrödinger Equations from their Zeros. [PDF]
Ann PDE, 2022 Kehle C, Ramos JPG.
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Existence and uniqueness conditions of positive solutions to semilinear elliptic equations with double power nonlinearities [PDF]
arXiv, 2008 In this article we find the equivalent conditions to assure the existence and uniqueness of positive solutions to semilinear elliptic equations wih double power nonlinearities. As a bonus, we give a simpler proof of our former result that the uniqueness condition comes from the existence condition.
arxiv
On the geometry of level sets of positive solutions of semilinear elliptic equations [PDF]
, 1988 Chris Cosner, Klaus Schmitt
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Generalized Harnack inequality for semilinear elliptic equations
Journal de Mathématiques Pures et Appliquées, 2016 This paper is concerned with semilinear equations in divergence form \[ \diver(A(x)Du) = f(u) \] where $f :\R \to [0,\infty)$ is nondecreasing. We prove a sharp Harnack type inequality for nonnegative solutions which is closely connected to the classical Keller-Osserman condition for the existence of entire solutions.
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