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Maximum principles and Bôcher type theorems [PDF]
Proc Natl Acad Sci U S A, 2018 Significance The Bôcher theorem for fractional Laplacian extends the classical Bôcher theorem with a unified proof that can be adapted in other situations.
Congming Li, Zhigang Wu, Hao Xu
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Maximum Principles for Discrete and Semidiscrete Reaction-Diffusion Equation [PDF]
Discrete Dynamics in Nature and Society, 2015 We study reaction-diffusion equations with a general reaction function f on one-dimensional lattices with continuous or discrete time ux′ (or Δtux)=k(ux-1-2ux+ux+1)+f(ux), x∈Z.
Petr Stehlík, Jonáš Volek
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Some maximum principles for solutions of a class of partial differential equations in Ω⊂ℝn [PDF]
International Journal of Mathematics and Mathematical Sciences, 2000 We find maximum principles for solutions of semilinear elliptic partial differential equations of the forms: (1) Δ2u+αf(u)=0, α∈ℝ+ and (2) ΔΔu+α(Δu)k+gu=0, α≤0 in some region Ω⊂ℝn.
Mohammad Mujalli Al-Mahameed
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Mixed local and nonlocal elliptic operators: regularity and maximum principles [PDF]
Communications in Partial Differential Equations, 2020 We develop a systematic study of the superpositions of elliptic operators with different orders, mixing classical and fractional scenarios. For concreteness, we focus on the sum of the Laplacian and the fractional Laplacian, and we provide structural ...
Stefano Biagi +3 more
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Equivalents of maximum principles for several spaces [PDF]
Topological Algebra and its Applications, 2022 According to our long-standing Metatheorem, certain maximum theorems can be equivalently reformulated to various types of fixed point theorems, and conversely.
Park Sehie
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Maximum principles for nonlocal parabolic Waldenfels operators [PDF]
Bulletin of Mathematical Sciences, 2019 As a class of Lévy type Markov generators, nonlocal Waldenfels operators appear naturally in the context of investigating stochastic dynamics under Lévy fluctuations and constructing Markov processes with boundary conditions (in particular the ...
Qiao Huang, Jinqiao Duan, Jiang-Lun Wu
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Maximum principles for a family of nonlocal boundary value problems [PDF]
Advances in Difference Equations, 2004 We study a family of three-point nonlocal boundary value problems (BVPs) for an nth-order linear forward difference equation. In particular, we obtain a maximum principle and determine sign properties of a corresponding Green function.
Paul W. Eloe
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Peyronie's Reconstruction for Maximum Length and Girth Gain: Geometrical Principles [PDF]
Advances in Urology, 2008 Peyronie's disease has been associated with penile shortening and some degree of erectile dysfunction. Surgical reconstruction should be based on giving a functional penis, that is, rectifying the penis with rigidity enough to make the sexual intercourse.
Paulo H. Egydio, Salvatore Sansalone
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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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Well-posedness and maximum principles for lattice reaction-diffusion equations
Advances in Nonlinear Analysis, 2017 Existence, uniqueness and continuous dependence results together with maximum principles represent key tools in the analysis of lattice reaction-diffusion equations.
Slavík Antonín +2 more
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