Results 21 to 30 of about 238 (179)
Regularity of Supersolutions [PDF]
, 2012 The regularity for the supersolutions of the Evolutionary p-Laplace Equation is considered. In particular,the equivalence of viscosity supersolutions and p-supercaloric functions (lower semicontinuous supersolutions defined via a comparison principle) is considered.
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Singularities of positive supersolutions in elliptic PDEs [PDF]
Selecta Mathematica, 2004 Let $\\Omega\\subset\\Bbb{R}^N$ be a bounded domain and denote by ${\\rm cap}_2$ the standard $H^1$-capacity. For any Radon measure $µ$ in $\\Bbb{R}^N$, consider the \"Radon-Nikodym\" decomposition $µ=\\mu_{\\rm d}+\\mu_{\\rm c}$ with respect to ${\\rm cap}_2$, so that the diffuse measure $\\mu_{\\rm d}$ satisfies $\\mu_{\\rm d}(A)=0$ for any Borel set
Dupaigne, Louis, Ponce, Augusto
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Combined effects in nonlinear singular elliptic problems in a bounded domain
Advances in Nonlinear Analysis, 2012 We establish an existence result of positive solutions to the following boundary value problem:
Chemmam Rym +3 more
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Minimal supersolutions of convex BSDEs under constraints [PDF]
ESAIM: Probability and Statistics, 2016 We study supersolutions of a backward stochastic differential equation, the control processes of which are constrained to be continuous semimartingales of the form $dZ = Δdt + ΓdW$. The generator may depend on the decomposition $(Δ,Γ)$ and is assumed to be positive, jointly convex and lower semicontinuous, and to satisfy a superquadratic growth ...
Heyne, Gregor +3 more
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Existence and asymptotic behavior of ground state solutions of semilinear elliptic system
Advances in Nonlinear Analysis, 2017 In this article, we take up the existence and the asymptotic behavior of entire bounded positive solutions to the following semilinear elliptic system:
Mâagli Habib +2 more
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Multiple solutions for a system involving an anisotropic variable exponent operator
Boundary Value Problems, 2022 In this paper, the existence of a solution for an anisotropic variable exponent system is obtained and proved under general hypotheses. By considering additional conditions, it is proved a multiplicity result.
Leandro S. Tavares
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Unbounded supersolutions of some quasilinear parabolic equations: A dichotomy [PDF]
Nonlinear Analysis, 2016 We study unbounded (viscosity) supersolutions of the Evolutionary p-Laplace Equation in the slow diffusion case. The supersolutions fall into two widely different classes, depending on whether they are locally summable to the power p-2 or not. Also the Porous Medium Equation is studied.
Kinnunen, Juha, Lindqvist, Peter
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Minimal supersolutions of convex BSDEs
The Annals of Probability, 2013 Published in at http://dx.doi.org/10.1214/13-AOP834 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Drapeau, Samuel +2 more
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Fractional Kirchhoff-Type and Method of Sub-supersolutions
Differential Equations and Dynamical Systems, 2023 In the present paper, we are interested in investigating the existence of positive solutions of a new class of fractional Kirchhoff via the sub and supersolutions technique. For this, we first need to investigate two results through lemmas.
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The sub-supersolution method for weak solutions [PDF]
Proceedings of the American Mathematical Society, 2008 Summary: We extend the method of sub- and supersolutions in order to prove existence of \(L^1\)-solutions of the equation \(-\Delta u = f(x,u)\) in \(\Omega\), where \(f\) is a Carathéodory function. The proof is based on the Schauder's fixed point theorem.
Montenegro, Marcelo, Ponce, Augusto C.
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