Results 21 to 30 of about 724 (89)
Advanced Nonlinear Studies, 2020 We consider elliptic operators with measurable coefficients and Robin boundary conditions on a bounded domain Ω⊂ℝd{\Omega\subset\mathbb{R}^{d}} and show that the first eigenfunction v satisfies v(x)≥δ>0{v(x)\geq\delta>0} for all x∈Ω¯{x\in\overline ...
Arendt Wolfgang +2 more
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International Journal of Stochastic Analysis, Volume 3, Issue 1, Page 65-79, 1990., 1990 In [4] and [5], the author studied strong maximum principles for nonlinear parabolic problems with initial and nonlocal inequalities, respectively. Our purpose here is to extend results in [4] and [5] to strong maximum principles for nonlinear parabolic problems with nonlocal inequalities together with integrals.
Ludwik Byszewski
wiley +1 more source
Quenching Time for Some Semilinear Equations with A Potential
, 2019 This paper concerns the study of a semilinear parabolic equation subject to Neumann boundary conditions, with a potential and positive initial datum. Under some assumptions, we show that the solution of the above problem quenches in a finite time and ...
R. K. Kouakou, F. K. N'Gohisse
semanticscholar +1 more source
Advances in Nonlinear Analysis, 2016 This paper is concerned with a general class of quasilinear anisotropic equations. We first derive some maximum principles for two appropriate P-functions, in the sense of Payne (see the book of Sperb [18]).
Barbu Luminita, Enache Cristian
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Maps from Riemannian manifolds into non-degenerate Euclidean cones [PDF]
, 2010 Let $M$ be a connected, non-compact $m$-dimensional Riemannian manifold. In this paper we consider smooth maps $\phi: M \to \mathbb{R}^n$ with images inside a non-degenerate cone.
Mari, Luciano, Rigoli, Marco
core +2 more sources
Maximum principles for a class of linear elliptic equations of even order
, 2013 In this paper we define several types of functions on the solution to a class of linear elliptic equations of even order. We establish that these functions satisfy a classical maximum principle. As a consequence we obtain uniqueness results and bounds on
C. Danet, A. Mareno
semanticscholar +1 more source
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 In this paper we are going to investigate a free boundary value problem for the anisotropic N-Laplace operator on a ring domain Ω:=Ω0\Ω¯1⊂N\Omega : = {\Omega _0}\backslash {\bar \Omega _1} \subset {\mathbb{R}^N}, N ≥ 2.
Nicolescu A. E., Vlase S.
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Maximum Principle and Its Application for the Time-Fractional Diffusion Equations [PDF]
, 2011 MSC 2010: 26A33, 33E12, 35B45, 35B50, 35K99, 45K05 Dedicated to Professor Rudolf Gorenflo on the occasion of his 80th anniversaryIn the paper, maximum principle for the generalized time-fractional diffusion equations including the multi-term diffusion ...
Luchko, Yury
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Single-point blow-up for a semilinear reaction-diffusion system
, 2014 In this paper, we consider positive solutions of the system ut −Δu = ur vp, vt −Δv = uq vs t ∈ (0, T ) , x ∈ B(0, R) = {x ∈ Rn | |x| < R} or x ∈ Rn and p, q, r, s > 1 .
Neji Mahmoudi
semanticscholar +1 more source
Existence of solutions for elliptic systems with Hölder continuous nonlinearities
Differential and Integral Equations, 2000 In this work we prove the existence of solutions for an elliptic system between lower and upper solutions when the nonlinearities are Holder continuous functions without a Lipschitz condition. Specifically, under appropriate conditions of monotony on the
M. Delgado, A. Suárez
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