Results 101 to 110 of about 2,254 (236)
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
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The effects of heat exchange and fluid production on the ignition of a porous solid
, 2008 In this paper we study a system of nonlinear parabolic equations representing the evolution of small perturbations in a modeldescribing the combustion of a porous solid.
McIntosh, A.C. +8 more
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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
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Multi-Peak Solutions for a Wide Class of Singular Perturbation Problems
, 1999 In this paper we are concerned with a wide class of singular perturbation problems arising from such diverse fields as phase transitions, chemotaxis, pattern formation, population dynamics and chemical reaction theory.
Winter, M +3 more
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Analysis of complex nonlinear reaction-diffusion equations [PDF]
, 2008 A mathematical analysis has been carried out for some nonlinear reaction- diffusion equations on open bounded convex domains Ω C R(^d)(d < 3) with Robin boundary conditions- Existence, uniqueness and continuous dependence on initial data of weak and ...
Al-Ofl, Abdalaziz Saleem
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Dimension of the set of positive solutions to nonlinear equations and applications
Electronic 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
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Comparison results and improved quantified inequalities for semilinear elliptic equations
, 2017 International audienceIn this paper, we prove some pointwise comparison results between the solutions of some second-order semilinear elliptic equations in a domain Ω of R n and the solutions of some radially symmetric equations in the equimeasurable ...
Hamel, François, Russ, Emmanuel
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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
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On the solution stability of parabolic optimal control problems. [PDF]
Comput Optim Appl, 2023 Corella AD, Jork N, Veliov VM.
europepmc +1 more source
Semilinear elliptic equations with dependence on the gradient via Mountain-Pass techniques [PDF]
, 2004 A class of semilinear elliptic equations with dependence on the gradient is considered. The existence of a positive and a negative solution is stated through an iterative method based on Mountain Pass ...
Matzeu, M +6 more
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