Results 31 to 40 of about 7,463,510 (319)
Uniqueness of critical points and maximum principles of the singular minimal surface equation
Journal of Differential Equations, 2019 We consider a smooth solution u > 0 of the singular minimal surface equation 1 + | D u | 2 div ( D u / 1 + | D u | 2 ) = α / u defined in a bounded strictly convex domain of R 2 with constant boundary condition.
R. López
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Maximum Principles for Null Hypersurfaces and Null Splitting Theorems
, 1999 A maximum principle for C^0 null hypersurfaces is obtained and used to derive a splitting theorem for spacetimes which contain null lines. As a consequence of this null splitting theorem, it is proved that an asymptotically simple vacuum (Ricci flat ...
Galloway, Gregory J.
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Uniform Anti-maximum Principles
Journal of Differential Equations, 2000 This paper is concerned with some uniform anti-maximum principles for classes of higher-order elliptic boundary values problems \({\mathcal A}u=\lambda u+f\) in \(\Omega\) with homogeneous boundary conditions \({\mathcal B}u= 0\) on \(\partial\Omega\), where \(\Omega\) is a bounded domain in \(\mathbb{R}^n\).
Clément, Ph, Sweers, G
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On the loss of maximum principles for higher-order fractional Laplacians
Proceedings of the American Mathematical Society, 2018 We study existence and positivity of solutions to problems involving higher-order fractional Laplacians (−∆)s for any s > 1. In particular, using a suitable variational framework and the nonlocal properties of these operators, we provide an explicit ...
Nicola Abatangelo +2 more
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Maximum principles for a time-space fractional diffusion equation [PDF]
Applied Mathematics Letters, 2016 In this paper, we focus on maximum principles of a time-space fractional diffusion equation. Maximum principles for classical solution and weak solution are all obtained by using properties of the time fractional derivative operator and the fractional ...
Junxiong Jia, Kexue Li
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Neuropsychological complications may impair the qualitative prognosis of patients with pediatric brain tumors. However, multifaceted evaluations cannot be conducted in all patients because they are time consuming and burdensome for patients.
Ami Tabata +9 more
wiley +1 more source
Remarks relevant to classical maximum principles
Journal of Applied Mathematics, 2005 We extend, sharpen, or give independent proofs of classical maximum principles. We also concentrate on maximum principles for equations of higher order. All proofs (except for one) are derived via comparison principles.
Cristian-Paul Danet
doaj +1 more source
Extended Maximum Principles [PDF]
, 2007 2000 Mathematics Subject Classification: 35B50, 35L15.In this paper we introduce some new results concerning the maximum principles for second order linear elliptic partial differential equations defined on a noncompact Riemannian ...
Al-Mahameed, M. M.
core
Maximum and comparison principles for convex functions on the Heisenberg group
, 2003 We prove estimates, similar in form to the classical Aleksandrov estimates, for a Monge-Ampere type operator on the Heisenberg group. A notion of normal mapping does not seem to be available in this context and the method of proof uses integration by ...
Gutierrez, Cristian E. +1 more
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Strong maximum principles for fractional elliptic and parabolic problems with mixed boundary conditions [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2016 We present some comparison results for solutions to certain non-local elliptic and parabolic problems that involve the fractional Laplacian operator and mixed boundary conditions, given by a zero Dirichlet datum on part of the complementary of the domain
B. Barrios, María Medina
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