Results 31 to 40 of about 6,453 (213)
Positive solutions to superlinear second-order divergence type elliptic equations in cone-like domains [PDF]
, 2003 We study the problem of the existence and nonexistence of positive solutions to a superlinear second-order divergence type elliptic equation with measurable coefficients $(*)$: $-\nabla\cdot a\cdot\nabla u=u^p$ in an unbounded cone--like domain $G\subset\
Agmon +37 more
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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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Viscosity methods giving uniqueness for martingale problems [PDF]
, 2015 Let $E$ be a complete, separable metric space and $A$ be an operator on $C_b(E)$. We give an abstract definition of viscosity sub/supersolution of the resolvent equation $\lambda u-Au=h$ and show that, if the comparison principle holds, then the ...
Costantini, Cristina, Kurtz, Thomas G.
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Minimal supersolutions of convex BSDEs
The Annals of Probability, 2013 We study the nonlinear operator of mapping the terminal value $ $ to the corresponding minimal supersolution of a backward stochastic differential equation with the generator being monotone in $y$, convex in $z$, jointly lower semicontinuous and bounded below by an affine function of the control variable $z$.
Drapeau, Samuel +2 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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Mathematical Biosciences and Engineering, 2019 The purpose of this work is to investigate the existence and stability of traveling wavefronts for competitive-cooperative systems with three species. The existence result can be derived by using the technique of monotone method with the help of a pair ...
Cheng-Hsiung Hsu +2 more
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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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Viscosity solutions to degenerate Complex Monge-Amp\`ere equations [PDF]
, 2010 We develop an alternative approach to Degenerate complex Monge-Amp\`ere equations on compact K\"ahler manifolds based on the concept of viscosity solutions and compare systematically viscosity concepts with pluripotential theoretic ones. We generalize to
Alexandrov +34 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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A concave-convex problem with a variable operator [PDF]
, 2017 We study the following elliptic problem $-A(u) = \lambda u^q$ with Dirichlet boundary conditions, where $A(u) (x) = \Delta u (x) \chi_{D_1} (x)+ \Delta_p u(x) \chi_{D_2}(x)$ is the Laplacian in one part of the domain, $D_1$, and the $p-$Laplacian (with ...
Molino, Alexis, Rossi, Julio D.
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