Results 11 to 20 of about 181 (48)

The unique continuation property for a nonlinear equation on trees [PDF]

open access: yes, 2014
In this paper, we study the game p-Laplacian on a tree, that is, u(x) = α / 2 max y∈S(x) u(y) + min y∈S(x) u(y) + β m y∈S(x) u(y);here x is a vertex of the tree and S(x) is the set of successors of x. We study the family of the subsets of the tree that
del Pezzo, Leandro Martin   +2 more
core   +2 more sources

Solitons in gauge theories: Existence and dependence on the charge

open access: yesAdvances 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
doaj   +1 more source

Best possible estimates of weak solutions of boundary value problems for quasi-linear elliptic equations in unbounded domains

open access: yesAnalele 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
doaj   +1 more source

Quenching solutions of a stochastic parabolic problem arising in electrostatic MEMS control [PDF]

open access: yes, 2016
This is the peer reviewed version of the following article: Kavallaris, N. I. (2018). Quenching solutions of a stochastic parabolic problem arising in electrostatic MEMS control. Mathematical Methods in the Applied Sciences, 41(3), 1074-1082. doi:10.1002/
Kavallaris, Nikos I.
core   +1 more source

Calderón–Zygmund theory for parabolic obstacle problems with nonstandard growth

open access: yesAdvances in Nonlinear Analysis, 2014
We establish local Calderón–Zygmund estimates for solutions to certain parabolic problems with irregular obstacles and nonstandard p(x,t)${p(x,t)}$-growth.
Erhardt André
doaj   +1 more source

A Liouville comparison principle for solutions of semilinear parabolic inequalities in the whole space

open access: yesAdvances in Nonlinear Analysis, 2014
We obtain a new Liouville comparison principle for weak solutions (u,v) of semilinear parabolic second-order partial differential inequalities of the form ut-ℒu-|u|q-1u≥vt-ℒv-|v|q-1v(*)$u_t -{\mathcal {L}}u- |u|^{q-1}u\ge v_t -{\mathcal {L}}v- |v|^{q-1}v\
Kurta Vasilii V.
doaj   +1 more source

Discounted Hamilton-Jacobi Equations on Networks and Asymptotic Analysis [PDF]

open access: yes, 2018
We study discounted Hamilton Jacobi equations on networks, without putting any restriction on their geometry. Assuming the Hamiltonians continuous and coercive, we establish a comparison principle and provide representation formulae for solutions.
Pozza, Marco, Siconolfi, Antonio
core   +2 more sources

Entire large solutions for semilinear elliptic equations [PDF]

open access: yes, 2012
We analyze the semilinear elliptic equation $\Delta u=\rho(x) f(u)$, $u>0$ in ${\mathbf R}^D$ $(D\ge3)$, with a particular emphasis put on the qualitative study of entire large solutions, that is, solutions $u$ such that $\lim_{|x|\rightarrow +\infty}u(x)
Bidaut-Veron   +30 more
core   +4 more sources

Strong Comparison Principle for the Fractional p-Laplacian and Applications to Starshaped Rings

open access: yesAdvanced Nonlinear Studies, 2018
In the following, we show the strong comparison principle for the fractional p-Laplacian, i.e.
Jarohs Sven
doaj   +1 more source

Anisotropic total variation flow of non-divergence type on a higher dimensional torus [PDF]

open access: yes, 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
core   +2 more sources

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