Results 21 to 30 of about 188 (50)
, 2017 In this paper we propose a counterexample to the validity of the Comparison Principle and of the Sub and Supersolution Method for nonlocal problems like the stationary Kirchhoff Equation.
Iturriaga, Leonelo, Massa, Eugenio
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Periodic total variation flow of non-divergence type in Rn [PDF]
, 2013 We introduce a new notion of viscosity solutions for a class of very singular nonlinear parabolic problems of non-divergence form in a periodic domain of arbitrary dimension, whose diffusion on flat parts with zero slope is so strong that it becomes a ...
Giga, Mi-Ho +2 more
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Global Dynamics of Generalized Logistic Equations
Advanced Nonlinear Studies, 2018 We consider a parameter dependent parabolic logistic population model with diffusion and degenerate logistic term allowing for refuges for the population.
Daners Daniel, López-Gómez Julián
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On the weakly competitive case in a two-species chemotaxis model
, 2016 In this article we investigate a parabolic-parabolic-elliptic two-species chemotaxis system with weak competition and show global asymptotic stability of the coexistence steady state under a smallness condition on the chemotactic strengths, which seems ...
Black, Tobias +2 more
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Existence and non-existence of positive solutions for nonlinear elliptic singular equations with natural growth [PDF]
, 2013 In this paper we analyze the existence, non-existence and uniqueness of positive solutions of some nonlinear elliptic equations containing singular terms and natural growth in the gradient.
Carmona Tapia, José +2 more
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Quasilinear elliptic equations with critical potentials
Advances in Nonlinear Analysis, 2017 We study Liouville theorems for problems of the ...
D’Ambrosio Lorenzo, Mitidieri Enzo
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Monotonicity and symmetry of singular solutions to quasilinear problems
, 2018 We consider singular solutions to quasilinear elliptic equations under zero Dirichlet boundary condition. Under suitable assumptions on the nonlinearity we deduce symmetry and monotonicity properties of positive solutions via an improved moving plane ...
Esposito, Francesco +2 more
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Anisotropic total variation flow of non-divergence type on a higher dimensional torus [PDF]
, 2013 We extend the theory of viscosity solutions to a class of very singular nonlinear parabolic problems of non-divergence form in a periodic domain of an arbitrary dimension with diffusion given by an anisotropic total variation energy. We give a proof of a
Giga, Mi-Ho +2 more
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Uniqueness and comparison principles for semilinear equations and inequalities in Carnot groups
Advances in Nonlinear Analysis, 2018 Variants of the Kato inequality are proved for distributional solutions of semilinear equations and inequalities on Carnot groups. Various applications to uniqueness, comparison of solutions and Liouville theorems are presented.
D’Ambrosio Lorenzo, Mitidieri Enzo
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Lipschitz regularity for integro-differential equations with coercive hamiltonians and application to large time behavior [PDF]
, 2016 In this paper, we provide suitable adaptations of the "weak version of Bernstein method" introduced by the first author in 1991, in order to obtain Lipschitz regularity results and Lipschitz estimates for nonlinear integro-differential elliptic and ...
Barles, Guy, Ley, Olivier, Topp, Erwin
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