Results 51 to 60 of about 82 (76)

Generalized quasi-linear fractional Wentzell problems

Advances in Nonlinear Analysis
Given a bounded (ε,δ)\left(\varepsilon ,\delta )-domain Ω⊆RN\Omega \subseteq {{\mathbb{R}}}^{N} (N≥2N\ge 2) whose boundary Γ≔∂Ω\Gamma := \partial \Omega is a dd-set for d∈(N−p,N)d\in \left(N-p,N), we investigate a generalized quasi-linear elliptic ...
Mesino-Espinosa Efren, Vélez-Santiago Alejandro   +1 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

On singularly perturbed (p, N)-Laplace Schrödinger equation with logarithmic nonlinearity

Advanced Nonlinear Studies
This 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, Mukherjee Tuhina, Winkert Patrick   +2 more
doaj   +1 more source

Uniform L ∞-boundedness for solutions of anisotropic quasilinear systems

Advanced Nonlinear Studies
In this paper we obtain uniformly locally L ∞-estimate of solutions to non-autonomous quasilinear system involving operators in divergence form and a family of nonlinearities that are allowed to grow also critically.
Borgia Natalino, Cingolani Silvia, Vannella Giuseppina   +2 more
doaj   +1 more source

Learning normalized solutions of quasilinear Schrödinger operators: a constrained deep-Ritz method for the Lp-supercritical case

Frontiers in Applied Mathematics and Statistics
We develop and analyze a mesh-free deep learning method for computing normalized solutions of the quasilinear p-Laplacian Schrödinger equation with prescribed mass in the Lp-supercritical regime, where solutions are known to exist only through non ...
Mohammad Akram, Umar Ishtiaq, Umar Ishtiaq, Umar Ishtiaq, Khaleel Ahmad, Khaleel Ahmad, Khaleel Ahmad, Ioan-Lucian Popa, Ioan-Lucian Popa   +8 more
doaj   +1 more source

Existence of infinitely many solutions for logarithmic double-phase systems with Dirichlet conditions

Demonstratio Mathematica
This paper investigates a Dirichlet problem for a system of logarithmic double-phase equations with variable exponents. The system is given by−div|∇u|α1(τ)−2∇u+μ(τ)log(e+|∇u|)+|∇u|β1(τ)(e+|∇u|)|∇u|β1(τ)−2∇u=h1(u,v) in D,−div|∇v|α2(τ)−2∇v+μ(τ)log(e+|∇v|)+|
Ahmed Ahmed, Bouh Elemine Vall Mohamed Saad, Kefi Khaled   +2 more
doaj   +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

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Clustering for Metric Graphs Using the p-Laplacian

Michigan Mathematical Journal, 2016
Julio D Rossi, Leandro Martín Del Pezzo
exaly  

On the Existence and Uniqueness of p-Harmonious Functions

Differential and Integral Equations, 2014
Eero Saksman, Mikko Parviainen
exaly  

Random Homogenization of p-Laplacian With Obstacles in Perforated Domain

Communications in Partial Differential Equations, 2012
Lan Tang
exaly