Results 31 to 40 of about 62 (52)

Best possible estimates of weak solutions of boundary value problems for quasi-linear elliptic equations in unbounded domains

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
We investigate the behaviour of weak solutions of boundary value problems for quasi-linear elliptic divergence second order equations in unbounded domains. We show the boundedness of weak solutions to our problem.
Wiśniewski Damian
doaj   +1 more source

Multiplicity of Positive Solutions for a Quasilinear Schrödinger Equation with an Almost Critical Nonlinearity

open access: yesAdvanced Nonlinear Studies, 2020
In this paper we prove an existence result of multiple positive solutions for the following quasilinear problem:
Figueiredo Giovany M.   +2 more
doaj   +1 more source

Revisiting the sub- and super-solution method for the classical radial solutions of the mean curvature equation

open access: yesOpen 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

Existence of solutions for a class of quasilinear Schrödinger equations with Choquard-type nonlinearity

open access: yesAdvances in Nonlinear Analysis
For 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

Multiplicity of positive solutions for quasilinear elliptic equations involving critical nonlinearity

open access: yesAdvances in Nonlinear Analysis, 2020
We are concerned with the following quasilinear elliptic ...
Fang Xiangdong, Zhang Jianjun
doaj   +1 more source

Existence of three solutions for two quasilinear Laplacian systems on graphs

open access: yesDemonstratio Mathematica
We 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

Existence of a bound state solution for quasilinear Schrödinger equations

open access: yesAdvances in Nonlinear Analysis, 2017
In this article, we establish the existence of bound state solutions for a class of quasilinear Schrödinger equations whose nonlinear term is asymptotically linear in ℝN{\mathbb{R}^{N}}.
Xue Yan-Fang, Tang Chun-Lei
doaj   +1 more source

Comparison and maximum principles for a class of flux-limited diffusions with external force fields

open access: yesAdvances in Nonlinear Analysis, 2016
In this paper, we are interested in a general equation that has finite speed of propagation compatible with Einstein's theory of special relativity. This equation without external force fields has been derived recently by means of optimal transportation ...
Duong Manh Hong
doaj   +1 more source

Ireneo Peral: Forty Years as Mentor

open access: yesAdvanced 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

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