Maximum Principles for Null Hypersurfaces and Null Splitting Theorems [PDF]
, 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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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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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 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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Nonlinear maximum principles for dissipative linear nonlocal operators and applications
, 2011 We obtain a family of nonlinear maximum principles for linear dissipative nonlocal operators, that are general, robust, and versatile. We use these nonlinear bounds to provide transparent proofs of global regularity for critical SQG and critical d ...
Constantin, Peter, Vicol, Vlad
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Maximum principles for boundary-degenerate second-order linear elliptic differential operators [PDF]
, 2013 We prove weak and strong maximum principles, including a Hopf lemma, for smooth subsolutions to equations defined by linear, second-order, partial differential operators whose principal symbols vanish along a portion of the domain boundary.
Feehan, Paul M. N.
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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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Comprehensive Studies on Operational Principles for Maximum Power Point Tracking in Photovoltaic Systems [PDF]
IEEE Access, 2019 Maximum power point tracking (MPPT) is essential in Photovoltaic (PV) systems, which has drawn significant research effort in the past. The operation is to adjust the power interfaces so that the operating characteristics of the consumption and the PV ...
Xingshuo Li +3 more
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Principal eigenvalues for k-Hessian operators by maximum principle methods
Mathematics in Engineering, 2021 For fully nonlinear $k$-Hessian operators on bounded strictly $(k-1)$-convex domains $\Omega$ of $\R^N$, a characterization of the principal eigenvalue associated to a $k$-convex and negative principal eigenfunction will be given as the supremum over ...
Isabeau Birindelli, Kevin R. Payne
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Fractal and Fractional, 2022 This paper is devoted to studying a class of fractional differential equations (FDEs) with the Prabhakar fractional derivative of Caputo type in an analytical manner.
Mohammed Al-Refai +2 more
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