Results 11 to 20 of about 39 (38)

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
doaj   +1 more source

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, Marras Monica, Porru Giovanni   +2 more
doaj   +1 more source

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.
doaj   +1 more source

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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Quasilinear elliptic equations with critical potentials

Advances in Nonlinear Analysis, 2017
We study Liouville theorems for problems of the ...
D’Ambrosio Lorenzo, Mitidieri Enzo
doaj   +1 more source

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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On positive weak solutions for a class of weighted (p(.), q(.))−Laplacian systems

Moroccan Journal of Pure and Applied Analysis, 2019
In this paper, we study the existence of positive weak solutions for a quasilinear elliptic system involving weighted (p(.), q(.))−Laplacian operators. The approach is based on sub-supersolutions method and on Schauder’s fixed point theorem.
Azroul Elhoussine, Boumazourh Athmane, Srati Mohammed   +2 more
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EXTREME VALUES OF THE FIEDLER VECTOR ON TREES. [PDF]

Linear Algebra Appl
Lederman RR, Steinerberger S.
europepmc   +1 more source

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Symmetry of intrinsically singular solutions of double phase problems

Differential and Integral Equations, 2023
Eugenio Vecchi
exaly  

On the Lipschitz Regularity for Minima of Functionals Depending on $x$, $u$, and $\nabla{u}$ under the Bounded Slope Condition

SIAM Journal on Control and Optimization, 2022
Flavia Giannetti, Giulia Treu
exaly