Results 61 to 70 of about 561 (74)

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

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
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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

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

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
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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, Shivaji Ratnasingham, Sim Inbo   +2 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

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Nonlinear singular problems with indefinite potential and a superlinear perturbation

Complex Variables and Elliptic Equations, 2021
Nikolaos S Papageorgiou, Chao Zhang
exaly  

Nonexistence of Positive Supersolutions of Elliptic Equations via the Maximum Principle

Communications in Partial Differential Equations, 2011
Boyan Sirakov
exaly