Results 51 to 60 of about 1,162 (78)

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

Open 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

Advances 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, Shivaji Ratnasingham, Sim Inbo   +2 more
doaj   +1 more source

A compactness result for a Gelfand-Liouville system with Lipschitz condition

, 2015
We give a quantization analysis to an elliptic system (Gelfand-Liouville type system) with Dirichlet condition.
Bahoura, Samy Skander
core  

Harnack type inequality on Riemannian manifolds of dimension 5

, 2013
We give some estimates of type sup * inf on Riemannian manifold of dimension 5.Comment: 12 pages.
Bahoura, Samy Skander, Prajapat, Jyotshana V.   +1 more
core   +1 more source

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

Advances 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

Advances 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

Advanced 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

Approximations to precisely localized supports of solutions for non-linear parabolic p-Laplacian problems

Demonstratio Mathematica
The shrinking of support in non-linear parabolic pp-Laplacian equations with a positive initial condition u0{u}_{0} that decayed as ∣x∣→∞| x| \to \infty was explored in the Cauchy problem.
Jeli Roqia Abdullah
doaj   +1 more source

Gradient estimate and a Liouville theorem for a $p$-Laplacian evolution equation with a gradient nonlinearity

, 2014
In this paper, we establish a local gradient estimate for a $p$-Lpalacian equation with a fast growing gradient nonlinearity. With this estimate, we can prove a parabolic Liouville theorem for ancient solutions satisfying some growth restriction near ...
Attouchi, Amal
core   +1 more source

On subsolutions and concavity for fully nonlinear elliptic equations

Advanced Nonlinear Studies
Subsolutions and concavity play critical roles in classical solvability, especially a priori estimates, of fully nonlinear elliptic equations. Our first primary goal in this paper is to explore the possibility to weaken the concavity condition.
Guan Bo
doaj   +1 more source