A Sub-Supersolution Approach for Robin Boundary Value Problems with Full Gradient Dependence
Mathematics, 2020 The paper investigates a nonlinear elliptic problem with a Robin boundary condition, which exhibits a convection term with full dependence on the solution and its gradient. A sub- supersolution approach is developed for this type of problems.
Dumitru Motreanu +2 more
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A note on fractional supersolutions [PDF]
Electronic Journal of Differential Equations, 2016 We study a class of equations driven by nonlocal, possibly degenerate, integro-differential operators of differentiability order $s\in (0,1)$ and summability growth $p>1$, whose model is the fractional $p$-Laplacian with measurable coefficients.
Janne Korvenpaa +2 more
doaj +7 more sources
Unbounded Supersolutions of Nonlinear Equations with Nonstandard Growth [PDF]
Boundary Value Problems, 2006 We show that every weak supersolution of a variable exponent p-Laplace equation is lower semicontinuous and that the singular set of such a function is of zero capacity if the exponent is logarithmically Hölder continuous.
Petteri Harjulehto +2 more
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On a sub-supersolution method for the prescribed mean curvature problem [PDF]
Czechoslovak Mathematical Journal, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Le Vy Khoi, Vy Khoi Le
exaly +3 more sources
A subsolution-supersolution method for quasilinear systems
Electronic Journal of Differential Equations, 2005 Assuming that a system of quasilinear equations of gradient type admits a strict supersolution and a strict subsolution, we show that it also admits a positive solution.
Dimitrios A. Kandilakis +1 more
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On the theory of entropy suband supersolutions of nonlinear degenerate parabolic equations
Современная математика: Фундаментальные направления, 2023 We consider a second-order nonlinear degenerate anisotropic parabolic equation in the case when the flux vector is only continuous and the nonnegative diffusion matrix is bounded and measurable.
E. Yu. Panov
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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 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
openaire +3 more sources
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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