Results 51 to 60 of about 413 (75)
Advances in Nonlinear Analysis, 2020 We are concerned with the following quasilinear elliptic ...
Fang Xiangdong, Zhang Jianjun
doaj +1 more source
Open Mathematics, 2020 This paper focuses on the existence and the multiplicity of classical radially symmetric solutions of the mean curvature problem:−div∇v1+|∇v|2=f(x,v,∇v)inΩ,a0v+a1∂v∂ν=0on∂Ω,\left\{\begin{array}{ll}-\text{div}\left(\frac{\nabla v}{\sqrt{1+|\nabla v{|}^{2}}
Obersnel Franco, Omari Pierpaolo
doaj +1 more source
Advanced Nonlinear Studies, 2021 We study of the regularizing effect of the interaction between the coefficient of the zero-order term and the lower-order term in quasilinear Dirichlet problems whose model ...
Arcoya David, Boccardo Lucio
doaj +1 more source
Diffeomorphism-invariant properties for quasi-linear elliptic operators
, 2011 For quasi-linear elliptic equations we detect relevant properties which remain invariant under the action of a suitable class of diffeomorphisms. This yields a connection between existence theories for equations with degenerate and non-degenerate ...
A. Alvino +23 more
core +1 more source
Two solutions for Dirichlet double phase problems with variable exponents
Advanced Nonlinear StudiesThis paper is devoted to the study of a double phase problem with variable exponents and Dirichlet boundary condition. Based on an abstract critical point theorem, we establish existence results under very general assumptions on the nonlinear term, such ...
Amoroso Eleonora +3 more
doaj +1 more source
Advances in Nonlinear AnalysisFor the following quasilinear Choquard-type equation: −Δu−Δ(u2)u+V(x)u=(Iμ*∣u∣p)∣u∣p−2u,x∈RN,-\Delta u-\Delta \left({u}^{2})u+V\left(x)u=\left({I}_{\mu }* {| u| }^{p}){| u| }^{p-2}u,\hspace{1em}x\in {{\mathbb{R}}}^{N}, where N≥3 ...
Shen Zifei, Yang Ning
doaj +1 more source
Existence of three solutions for two quasilinear Laplacian systems on graphs
Demonstratio MathematicaWe deal with the existence of three distinct solutions for a poly-Laplacian system with a parameter on finite graphs and a (p,q)\left(p,q)-Laplacian system with a parameter on locally finite graphs. The main tool is an abstract critical point theorem in [
Pang Yan, Zhang Xingyong
doaj +1 more source
Asymptotic behavior of the eigenvalues of the p(x)-Laplacian
, 2013 We obtain asymptotic estimates for the eigenvalues of the p(x)-Laplacian defined consistently with a homogeneous notion of first eigenvalue recently introduced in the literature.Comment: 10 pages, revised ...
Perera, Kanishka, Squassina, Marco
core
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
doaj +1 more source
Explicit 2D Infinity-Harmonic maps whose interfaces have junctions and corners [PDF]
, 2013 Given a map $u : \Om \sub \R^n \larrow \R^N$, the $\infty$-Laplacian is the system \[ \label{1} \De_\infty u \, :=\, \Big(Du \ot Du + |Du|^2 [Du]^\bot \ \ot I \Big) : D^2 u\, = \, 0 \tag{1} \] and arises as the "Euler-Lagrange PDE" of the supremal ...
Katzourakis, Nicholas
core +1 more source