Results 61 to 68 of about 538 (68)
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′)=esssupΩ′H(⋅,Du){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
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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
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On singularly perturbed (p, N)-Laplace Schrödinger equation with logarithmic nonlinearity
Advanced Nonlinear StudiesThis article focuses on the study of the existence, multiplicity and concentration behavior of ground states as well as the qualitative aspects of positive solutions for a (p, N)-Laplace Schrödinger equation with logarithmic nonlinearity and critical ...
Mahanta Deepak Kumar +2 more
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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 +2 more
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Multiple solutions for a fractional $p$-Laplacian equation with sign-changing potential
, 2016 We use a variant of the fountain Theorem to prove the existence of infinitely many weak solutions for the following fractional p-Laplace equation (-\Delta)^{s}_{p}u+V(x)|u|^{p-2}u=f(x,u) in R^N, where $s \in (0,1)$,$ p \geq 2$,$ N \geq 2$, $(-\Delta)^{s ...
Ambrosio, Vincenzo
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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 +9 more
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Existence of nontrivial weak solutions for a quasilinear Choquard equation. [PDF]
J Inequal Appl, 2018 Lee J, Kim JM, Bae JH, Park K.
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Hopf’s lemma for parabolic equations involving a generalized tempered fractional p-Laplacian
Advanced Nonlinear StudiesIn 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
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