Results 11 to 20 of about 11,751,266 (377)

On sufficient “local” conditions for existence results to generalized p(.)-Laplace equations involving critical growth

open access: yesAdvances in Nonlinear Analysis, 2022
In this article, we study the existence of multiple solutions to a generalized p(⋅)p\left(\cdot )-Laplace equation with two parameters involving critical growth.
Ho Ky, Sim Inbo
doaj   +1 more source

Existence of nontrivial solutions for critical Kirchhoff-Poisson systems in the Heisenberg group

open access: yesAdvanced Nonlinear Studies, 2022
This article is devoted to the study of the combined effects of logarithmic and critical nonlinearities for the Kirchhoff-Poisson system −M∫Ω∣∇Hu∣2dξΔHu+μϕu=λ∣u∣q−2uln∣u∣2+∣u∣2uinΩ,−ΔHϕ=u2inΩ,u=ϕ=0on∂Ω,\left\{\begin{array}{ll}-M\left(\mathop ...
Pucci Patrizia, Ye Yiwei
doaj   +1 more source

Critical transitions and perturbation growth directions [PDF]

open access: yesPhysical Review E, 2017
Critical transitions occur in a variety of dynamical systems. Here, we employ quantifiers of chaos to identify changes in the dynamical structure of complex systems preceding critical transitions. As suitable indicator variables for critical transitions, we consider changes in growth rates and directions of covariant Lyapunov vectors. Studying critical
Nahal Sharafi   +5 more
openaire   +5 more sources

Multiple solutions for a fractional p-Kirchhoff equation with critical growth and low order perturbations

open access: yesAIMS Mathematics, 2022
In this article, we deal with the following fractional $ p $-Kirchhoff type equation $ \begin{equation*} \begin{cases} M\left( \int_{\mathbb{R}^{N}}\int_{\mathbb{R}^{N}}\frac{|u(x)-u(y)|^p}{|x-y|^{N+ps}}dxdy\right)(-\Delta)_p^su=\frac{|u|^{p_\alpha ...
Zusheng Chen , Hongmin Suo, Jun Lei
doaj   +1 more source

Fractional NLS equations with magnetic field, critical frequency and critical growth [PDF]

open access: yesManuscripta mathematica, 2016
The paper is devoted to the study of singularly perturbed fractional Schrödinger equations involving critical frequency and critical growth in the presence of a magnetic field.
Binlin Zhang, M. Squassina, Zhang Xia
semanticscholar   +2 more sources

Multiple positive solutions for a bi-nonlocal Kirchhoff-Schrödinger-Poisson system with critical growth

open access: yesElectronic Research Archive, 2022
In this article, we study the following bi-nonlocal Kirchhoff-Schr$ \ddot{\mathrm{o}} $dinger-Poisson system with critical growth: $ \begin{equation*} \begin{cases} -\left( \int_{\Omega}|\nabla u|^2dx\right)^r\Delta u+\phi u = u^5+\lambda\left ...
Guaiqi Tian , Hongmin Suo , Yucheng An
doaj   +1 more source

W1,p versus C1: The nonsmooth case involving critical growth

open access: yesBulletin of Mathematical Sciences, 2020
In this paper, we study a class of generalized and not necessarily differentiable functionals of the form J(u) =∫ΩG(x,∇u)dx −∫Ωj1(x,u)dx −∫∂Ωj2(x,u)dσ with functions j1: Ω × ℝ → ℝ, j2: ∂Ω × ℝ → ℝ that are only locally Lipschitz in the second ...
Yunru Bai   +3 more
doaj   +1 more source

On p-Laplacian Kirchhoff-Schrödinger-Poisson type systems with critical growth on the Heisenberg group

open access: yesElectronic Research Archive, 2023
In this article, we investigate the Kirchhoff-Schrödinger-Poisson type systems on the Heisenberg group of the following form: $ \begin{equation*} \left\{ \begin{array}{lll} {-(a+b\int_{\Omega}|\nabla_{H} u|^{p}d\xi)\Delta_{H, p}u-\mu\phi |u|^{p-2}u} =
Shujie Bai   +2 more
doaj   +1 more source

Concentrating Solutions for a Fractional Kirchhoff Equation with Critical Growth [PDF]

open access: yesNonlinear Fractional Schrödinger Equations in R^N, 2018
In this paper we consider the following class of fractional Kirchhoff equations with critical growth: \begin{equation*} \left\{ \begin{array}{ll} \left(\varepsilon^{2s}a+\varepsilon^{4s-3}b\int_{\mathbb{R}^{3}}|(-\Delta)^{\frac{s}{2}}u|^{2}dx\right ...
V. Ambrosio
semanticscholar   +1 more source

Sign-changing solutions for fourth-order elliptic equations of Kirchhoff type with critical exponent

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2021
In this paper, we study the existence of ground state sign-changing solutions for the following fourth-order elliptic equations of Kirchhoff type with critical exponent. More precisely, we consider \begin{equation*} \begin{cases} \Delta^2u - \left(1 +
Sihua Liang, Binlin Zhang
doaj   +1 more source

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