Results 21 to 30 of about 6,453 (213)
Quasilinear Dirichlet Problems with Degenerated p-Laplacian and Convection Term
Mathematics, 2021 The paper develops a sub-supersolution approach for quasilinear elliptic equations driven by degenerated p-Laplacian and containing a convection term.
Dumitru Motreanu, Elisabetta Tornatore
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Nonlinear parabolic equation having nonstandard growth condition with respect to the gradient and variable exponent [PDF]
Opuscula Mathematica, 2021 We are concerned with the existence of solutions to a class of quasilinear parabolic equations having critical growth nonlinearity with respect to the gradient and variable exponent.
Abderrahim Charkaoui +2 more
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A Sub-Supersolution Method for p-Laplacian Equation with Non-Local Term
Journal of Mathematics, 2022 This paper is concerned with the existence of solutions for p-Laplace problems with non-local term. We prove the sub-supersolution theorem using the pseudomonotone operator theorem and Minty–Browder theorem with appropriate assumptions on M,gii=1,2. Then,
Mei Rong, Qing Miao
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A supersolutions perspective on hypercontractivity [PDF]
Annali di Matematica Pura ed Applicata (1923 -), 2020 The purpose of this article is to expose an algebraic closure property of supersolutions to certain diffusion equations. This closure property quickly gives rise to a monotone quantity which generates a hypercontractivity inequality. Our abstract argument applies to a general Markov semigroup whose generator is a diffusion and satisfies a curvature ...
Aoki, Yosuke +5 more
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Minimal supersolutions of BSDEs with lower semicontinuous generators [PDF]
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2014 We study the existence and uniqueness of minimal supersolutions of backward stochastic differential equations with generators that are jointly lower semicontinuous, bounded below by an affine function of the control variable and satisfy a specific normalization property.
Heyne, Gregor +2 more
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Minimal supersolutions of convex BSDEs under constraints [PDF]
ESAIM: Probability and Statistics, 2016 23 ...
Heyne, Gregor +3 more
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Asymptotic behavior of positive solutions of a semilinear Dirichlet problem in the annulus [PDF]
Opuscula Mathematica, 2015 In this paper, we establish existence and asymptotic behavior of a positive classical solution to the following semilinear boundary value problem: \[-\Delta u=q(x)u^{\sigma }\;\text{in}\;\Omega,\quad u_{|\partial\Omega}=0.\] Here \(\Omega\) is an annulus
Safa Dridi, Bilel Khamessi
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper we show existence and multiplicity of positive solutions using the sub-supersolution method and Mountain Pass Theorem in a general singular system which the operator is not homogeneous neither linear.
Suellen Arruda, Rubia Nascimento
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Solutions for a nonhomogeneous p&q-Laplacian problem via variational methods and sub-supersolution technique [PDF]
Opuscula Mathematica, 2023 In this paper it is obtained, through variational methods and sub-supersolution arguments, existence and multiplicity of solutions for a nonhomogeneous problem which arise in several branches of science such as chemical reactions, biophysics and plasma ...
Leandro S. Tavares +1 more
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Sobolev gradients of viscosity supersolutions
Nonlinear Differential Equations and Applications NoDEA, 2023 We investigate which elliptic PDEs that have the property that every viscosity supersolution is $W^{1,q}_{loc}( )$, $ \subseteq\mathbb{R}^n$. The asymptotic cone of the operator's sublevel set seems to be essential. It turns out that much can be said if we know how this cone compares to the sublevel set of a certain minimal operator associated with ...
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