Results 11 to 18 of about 19 (18)

Calderón–Zygmund theory for parabolic obstacle problems with nonstandard growth

Advances 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

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

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
doaj   +1 more source

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

Advances 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

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
doaj   +1 more source

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