Results 1 to 10 of about 156 (42)
Monotonicity and Symmetry of Nonnegative Solutions to -Δ u=f(u) in Half-Planes and Strips [PDF]
Advanced Nonlinear Studies, 2017 We consider nonnegative solutions to -Δu=f(u)${-\Delta u=f(u)}$ in half-planes and strips, under zero Dirichlet boundary condition. Exploiting a rotating and sliding line technique, we prove symmetry and monotonicity properties of the solutions, under ...
Farina Alberto, Sciunzi Berardino
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On a comparison theorem for parabolic equations with nonlinear boundary conditions
Advances in Nonlinear Analysis, 2022 In this article, a new type of comparison theorem for some second-order nonlinear parabolic systems with nonlinear boundary conditions is given, which can cover classical linear boundary conditions, such as the homogeneous Dirichlet or Neumann boundary ...
Kita Kosuke, Ôtani Mitsuharu
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Lipschitz estimates for partial trace operators with extremal Hessian eigenvalues
Advances in Nonlinear Analysis, 2022 We consider the Dirichlet problem for partial trace operators which include the smallest and the largest eigenvalue of the Hessian matrix. It is related to two-player zero-sum differential games. No Lipschitz regularity result is known for the solutions,
Vitolo Antonio
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A sharp global estimate and an overdetermined problem for Monge-Ampère type equations
Advanced Nonlinear Studies, 2022 We consider Monge-Ampère type equations involving the gradient that are elliptic in the framework of convex functions. Through suitable symmetrization we find sharp estimates to solutions of such equations.
Mohammed Ahmed, Porru Giovanni
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Logistic damping effect in chemotaxis models with density-suppressed motility
Advances in Nonlinear Analysis, 2022 This paper is concerned with a parabolic-elliptic chemotaxis model with density-suppressed motility and general logistic source in an n-dimensional smooth bounded domain with Neumann boundary conditions.
Lyu Wenbin, Wang Zhi-An
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Comparison results for nonlinear divergence structure elliptic PDE’s
Advances in Nonlinear Analysis, 2019 First we prove a comparison result for a nonlinear divergence structure elliptic partial differential equation. Next we find an estimate of the solution of a boundary value problem in a domain Ω in terms of the solution of a related symmetric boundary ...
Liu Yichen +2 more
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A Liouville comparison principle for solutions of quasilinear singular parabolic inequalities
Advances in Nonlinear Analysis, 2015 We obtain a Liouville comparison principle for entire weak solutions (u,v) of quasilinear singular parabolic second-order partial differential inequalities of the form ut-A(u)-|u|q-1u≥vt-A(v)-|v|q-1v${ u_t - A(u)-|u|^{q-1}u \ge v_t - A (v)-|v|^{q-1}v ...
Kurta Vasilii V.
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Solitons in gauge theories: Existence and dependence on the charge
Advances in Nonlinear Analysis, 2014 In this paper we review recent results on the existence of non-topological solitons in classical relativistic nonlinear field theories. We follow the Coleman approach, which is based on the existence of two conservation laws, energy and charge.
Bonanno Claudio
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Symmetrization of exterior parabolic problems and probabilistic interpretation [PDF]
Stoch. PDE.: Anal. Comp. (2016), 2016 We prove a comparison theorem for the averages of the solutions of two exterior parabolic problems, the second being the "symmetrization" of the first one, by using approximation of the Schwarz symmetrization by polarizations, as it was introduced in [4].
arxiv +1 more source
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 We investigate the behaviour of weak solutions of boundary value problems for quasi-linear elliptic divergence second order equations in unbounded domains. We show the boundedness of weak solutions to our problem.
Wiśniewski Damian
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