Results 61 to 68 of about 533 (68)

Analysis of positive solutions for classes of quasilinear singular problems on exterior domains

Advances in Nonlinear Analysis, 2017
We consider the ...
Chhetri Maya, Drábek Pavel, Shivaji Ratnasingham   +2 more
doaj   +1 more source

Solutions of vectorial Hamilton–Jacobi equations are rank-one absolute minimisers in L∞L^{\infty}

Advances in Nonlinear Analysis, 2017
Given the supremal functional E∞⁢(u,Ω′)=ess⁢supΩ′⁡H⁢(⋅,D⁢u){E_{\infty}(u,\Omega^{\prime})=\operatornamewithlimits{ess\,sup}_{\Omega^{% \prime}}H(\,\cdot\,,\mathrm{D}u)}, defined on Wloc1,∞⁢(Ω,ℝN){W^{1,\infty}_{\mathrm{loc}}(\Omega,\mathbb{R}^{N})}, with ...
Katzourakis Nikos
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

Boundary Regularity for p-Harmonic Functions and Solutions of Obstacle Problems on Unbounded Sets in Metric Spaces

Analysis and Geometry in Metric Spaces, 2019
The theory of boundary regularity for p-harmonic functions is extended to unbounded open sets in complete metric spaces with a doubling measure supporting a p-Poincaré inequality, 1 < p < ∞.
Björn Anders, Hansevi Daniel
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

Ireneo Peral: Forty Years as Mentor

Advanced Nonlinear Studies, 2017
In this article we present a survey of the Ph.D. theses that have been completed under the advice of Ireneo Peral.Following a chronological order, we summarize the main results contained in the works of the former students of Ireneo Peral.
Abdellaoui Boumediene, Aguilar Juan Antonio, Barrios Begoña, Colorado Eduardo, Charro Fernando, García Azorero Jesús, Medina Maria, Merchán Susana, Montoro Luigi, Primo Ana   +9 more
doaj   +1 more source

Existence of nontrivial weak solutions for a quasilinear Choquard equation. [PDF]

J Inequal Appl, 2018
Lee J, Kim JM, Bae JH, Park K.
europepmc   +1 more source

Hopf’s lemma for parabolic equations involving a generalized tempered fractional p-Laplacian

Advanced Nonlinear Studies
In this paper, we study a nonlinear system involving a generalized tempered fractional p-Laplacian in B 1(0):∂tu(x,t)+(−Δ−λf)psu(x,t)=g(t,u(x,t)),(x,t)∈B1(0)×[0,+∞),u(x)=0,(x,t)∈B1c(0)×[0,+∞), $$\begin{cases}_{t}u\left(x,t\right)+{\left(-{\Delta ...
Fan Linlin, Cao Linfen, Zhao Peibiao
doaj   +1 more source