Results 61 to 70 of about 105 (103)

Monotonicity formulas for coupled elliptic gradient systems with applications

open access: yesAdvances in Nonlinear Analysis, 2019
Consider the following coupled elliptic system of ...
Fazly Mostafa, Shahgholian Henrik
doaj   +1 more source

Parabolic oblique derivative problem with discontinuous coefficients in generalized weighted Morrey spaces

open access: yesOpen Mathematics, 2016
We obtain the global weighted Morrey-type regularity of the solution of the regular oblique derivative problem for linear uniformly parabolic operators with VMO coefficients.
Guliyev Vagif S., Omarova Mehriban N.
doaj   +1 more source

A class of semipositone p-Laplacian problems with a critical growth reaction term

open access: yesAdvances in Nonlinear Analysis, 2019
We prove the existence of ground state positive solutions for a class of semipositone p-Laplacian problems with a critical growth reaction term. The proofs are established by obtaining crucial uniform C1,α a priori estimates and by concentration ...
Perera Kanishka   +2 more
doaj   +1 more source

Maximum Principle and Its Application for the Time-Fractional Diffusion Equations [PDF]

open access: yes, 2011
MSC 2010: 26A33, 33E12, 35B45, 35B50, 35K99, 45K05 Dedicated to Professor Rudolf Gorenflo on the occasion of his 80th anniversaryIn the paper, maximum principle for the generalized time-fractional diffusion equations including the multi-term diffusion ...
Luchko, Yury
core  

Global Existence and Uniqueness for Viscoelastic Equations With Nonstandard Growth Conditions

open access: yes
This paper is devoted to the study of generalized viscoelastic nonlinear equations with Dirichlet-Neumann boundary conditions. We establish the local and uniqueness of weak solutions results in Sobolev spaces with variable exponents.
RAHMOUNE, Abita
core   +1 more source

On the Cauchy problem for microlocally symmetrizable hyperbolic systems with log-Lipschitz coefficients

open access: yes, 2017
The present paper concerns the well-posedness of the Cauchy problem for microlocally symmetrizable hyperbolic systems whose coefficients and symmetrizer are log-Lipschitz continuous, uniformly in time and space variables.
Santo, Daniele, Del   +3 more
core   +1 more source

On well-posedness and decay of strong solutions for a coupled Cahn–Hilliard system

open access: yesAdvances in Nonlinear Analysis
In this paper, we consider the Cauchy problem for a coupled Cahn–Hilliard system in R3 ${\mathbb{R}}^{3}$ . This system can be seen as the stationary system of a novel thermodynamically consistent three-phase model.
Duan Ning, Wang Yinghao, Zhao Xiaopeng
doaj   +1 more source

Existence and regularity for a p-Laplacian problem in ℝN with singular, convective, and critical reaction

open access: yesAdvances in Nonlinear Analysis
We prove an existence result for a p-Laplacian problem set in the whole Euclidean space and exhibiting a critical term perturbed by a singular, convective reaction.
Baldelli Laura, Guarnotta Umberto
doaj   +1 more source

p-Laplacian Equations in ℝN with Finite Potential via the Truncation Method

open access: yesAdvanced Nonlinear Studies, 2017
We consider the problem -Δp⁢u+a⁢(x)⁢|u|p-2⁢u=|u|q-2⁢u{-\Delta_{p}u+a(x)\lvert u\rvert^{p-2}u=\lvert u\rvert^{q-2}u} in ℝN{\mathbb{R}^{N}}, where ...
Liu Xiangqing, Zhao Junfang
doaj   +1 more source

İzotropik Olmayan Potansiyel Teorik Eşitsizlik

open access: yes, 2018
In this paper, the new weighted inequalities were derived by ?-distance which is similar to the given inequality for the potential operator defined in [1]. The results presented here would provide extensions of those given in earlier works.
Hüseyin Yıldırım   +2 more
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