Results 21 to 30 of about 94 (49)

Strict Positivity for the Principal Eigenfunction of Elliptic Operators with Various Boundary Conditions

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, ter Elst A. F. M., Glück Jochen   +2 more
doaj   +1 more source

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

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
semanticscholar   +1 more source

On a free boundary value problem for the anisotropic N-Laplace operator on an N−dimensional ring domain

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.
doaj   +1 more source

Maximum principles, Liouville-type theorems and symmetry results for a general class of quasilinear anisotropic equations

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
doaj   +1 more source

Spatial decay and blow-up for solutions to some parabolic equations in the half cylinder

, 2010
In this paper,the spatial behaviors of a nonlinear and a quasi-linear parabolic equations with nonlinear boundary conditions are studied on a half cylinder.Under suitable conditions, we get a various, but closely related forms of Phragmen-Lindelof ...
Yan Liu, Changhao Lin
semanticscholar   +1 more source

On an eighth order overdetermined elliptic boundary value problem

, 2010
We consider the overdetermined boundary value problem for the 4-harmonic operator, Δ4 = Δ(Δ3) , and show that if the solution of the problem exists, then the domain must be an open N -ball (N 2) .
S. Goyal, Vinod B. Goyal
semanticscholar   +1 more source

On the maximum principle for elliptic operators

, 2004
In this paper we obtain some estimates for solutions of second order elliptic equations whose leading coefficients are functions of vanishing mean oscillation. Mathematics subject classification (2000): 35J25, 35B50.
L. Caso, Paola Cavaliere, M. Transirico
semanticscholar   +1 more source

Some applications and maximum principles for multi-term time-space fractional parabolic Monge-Ampère equation

Demonstratio Mathematica
This study first establishes several maximum and minimum principles involving the nonlocal Monge-Ampère operator and the multi-term time-space fractional Caputo-Fabrizio derivative.
Guan Tingting, Wang Guotao, Araci Serkan
doaj   +1 more source