Harnack inequality for non-divergence structure semi-linear elliptic equations
Advances in Nonlinear Analysis, 2018 In this paper we establish a Harnack inequality for non-negative solutions of Lu=f(u){Lu=f(u)} where L is a non-divergence structure uniformly elliptic operator and f is a non-decreasing function that satisfies an appropriate growth conditions at ...
Mohammed Ahmed, Porru Giovanni
doaj +1 more source
On the geometry of level sets of positive solutions of semilinear elliptic equations [PDF]
, 1988 Chris Cosner, Klaus Schmitt
openalex +1 more source
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
semanticscholar +1 more source
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.
europepmc +1 more source
Corrigendum: Optimal control of semilinear elliptic equations with pointwise constraints on the gradient of the state [PDF]
, 1993 Eduardo Casas, Luis Alberto Fern�ndez
openalex +1 more source
Existence of a solution to a semilinear elliptic equation
AIMS Mathematics, 2016 We consider the equation $-\Delta u =f(u)-\frac{1}{|\Omega|}\int_{\Omega} f(u)d\mathbf{x}$, where the domain $\Omega= \mathbb{T}^N$, the $N$-dimensional torus, with $N=2$ or $N=3$. And $f$ is a given smooth function of $u$ for$u(\mathbf{x}) \in G \subset \mathbb{R}$.
openaire +4 more sources
Nonexistence of solutions to KPP-type equations of dimension greater than or equal to one
Electronic Journal of Differential Equations, 2006 In this article, we consider a semilinear elliptic equations of the form $Delta u+f(u)=0$, where $f$ is a concave function. We prove for arbitrary dimensions that there is no solution bounded in $(0,1)$.
Janos Englander, Peter L. Simon
doaj
Structure Results for Semilinear Elliptic Equations with Hardy Potentials
Advanced Nonlinear Studies, 2018 We prove structure results for the radial solutions of the semilinear ...
Franca Matteo, Garrione Maurizio
doaj +1 more source
Uniqueness of Solutions to Nonlinear Schrödinger Equations from their Zeros. [PDF]
Ann PDE, 2022 Kehle C, Ramos JPG.
europepmc +1 more source
Electronic Journal of Differential Equations, 2015 This article shows the existence of solutions by the least action principle, for semilinear elliptic equations with Neumann boundary conditions, under critical growth and local coercive conditions.
Qin Jiang, Sheng Ma
doaj