Results 131 to 140 of about 92,595 (298)

Nonexistence of solutions to KPP-type equations of dimension greater than or equal to one

open access: yesElectronic 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  

Harnack inequality for non-divergence structure semi-linear elliptic equations

open access: yesAdvances in Nonlinear Analysis, 2018
In this paper we establish a Harnack inequality for non-negative solutions of L⁢u=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

Dimension of the set of positive solutions to nonlinear equations and applications

open access: yesElectronic Journal of Differential Equations, 2016
We study the covering dimension of the set of (positive) solutions to various classes of nonlinear equations involving condensing and A-proper maps. It is based on the nontriviality of the fixed point index of a certain condensing map or on oddness ...
Petronije S. Milojevic
doaj  

On the solution stability of parabolic optimal control problems. [PDF]

open access: yesComput Optim Appl, 2023
Corella AD, Jork N, Veliov VM.
europepmc   +1 more source

Existence and multiplicity of solutions for semilinear elliptic equations with Neumann boundary conditions

open access: yesElectronic 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  

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