Results 91 to 100 of about 2,162,787 (303)
Maximum principles for viscosity solutions of weakly elliptic equations
Bruno Pini Mathematical Analysis Seminar, 2019 Maximum principles play an important role in the theory of elliptic equations. In the last decades there have been many contributions related to the development of fully nonlinear equations and viscosity solutions.
Antonio Vitolo
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Uniqueness of Solutions to a Nonlinear Elliptic Hessian Equation [PDF]
Journal of Applied Mathematics, 2016 Through an Alexandrov-Fenchel inequality, we establish the general Brunn-Minkowski inequality. Then we obtain the uniqueness of solutions to a nonlinear elliptic Hessian equation onSn.
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Advanced Science, EarlyView.A universal hydrogel microparticle template with five DNA‐addressable domains decouples particle fabrication from barcode writing. Contact‐free multilaminar flow lithography produces >106 templates/h, and post‐fabrication domain‐selective hybridization converts one batch into large, user‐defined optical barcode libraries with robust decoding and re ...
Akihiro Eguchi +5 more
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Singular nonlinear elliptic equations in Rn
Abstract and Applied Analysis, 1998 This paper deals with existence, uniqueness and regularity of positive generalized solutions of singular nonlinear equations of the form −Δu+a(x)u=h(x)u−γ in Rn where a,h are given, not necessarily continuous functions, and γ is a positive number.
C. O. Alves, J. V. Goncalves, L. A. Maia
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NONLINEAR ELLIPTIC EQUATIONS WITH SINGULAR REACTION
Osaka Journal of Mathematics, 2016 We study a nonlinear elliptic equation with a singular term and a continuous perturbation. We look for positive solutions. We prove three multiplicity theorems producing at least two positive solutions. The first multiplicity theorem concerns equations driven by a nonhomogeneous in general differential operator.
Papageorgiou, Nikolaos S +1 more
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Ultrahigh Interfacial Thermal Conductance across GaN/BAs Interfaces via Atomic‐Level Engineering
Advanced Science, EarlyView.The integration of gallium nitride (GaN) with ultrahigh‐thermal‐conductivity boron arsenide (BAs) substrates represents a promising pathway for developing next‐generation high‐power devices. The heat dissipation capability of such integrated systems is fundamentally governed by thermal transport across GaN/BAs interfaces, and buffer layers such as ...
Linfeng Yu +10 more
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Generalized Keller-Osserman Conditions for Fully Nonlinear Degenerate Elliptic Equations
Современная математика: Фундаментальные направления, 2018 We discuss the existence of entire (i.e. defined on the whole space) subsolutions of fully nonlinear degenerate elliptic equations, giving necessary and sufficient conditions on the coefficients of the lower order terms which extend the classical Keller ...
I Capuzzo Dolcetta, F Leoni, A Vitolo
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Nonlinear elliptic equations with lower-order terms
Differential and Integral Equations, 2001 We prove regularity results for solutions of nonlinear elliptic equations containing a term which grows as $ |u|^\sigma$, $ \sigma>0$, and satisfies a "sign condition." The source term is supposed to be in $ L^1$.
ALVINO, ANGELO +2 more
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Compact and stable discontinuous Galerkin methods for convection-diffusion problems [PDF]
, 2012 We present a new scheme, the compact discontinuous Galerkin 2 (CDG2) method, for solving nonlinear convection-diffusion problems together with a detailed comparison to other well-accepted DG methods.
Dedner, A. +3 more
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Advanced Science, EarlyView.Conventional contact‐separation triboelectric nanogenerators generate high voltage but deliver limited power due to premature charge dissipation. Here, a capacitive charge reservoir architecture decouples charge accumulation from discharge triggering, enabling sequential voltage amplification via floating‐layer capacitive coupling.
Ajay Haridas CP +3 more
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