On a system of multi-component Ginzburg-Landau vortices
Advances in Nonlinear Analysis, 2023 We study the asymptotic behavior of solutions for nn-component Ginzburg-Landau equations as ε→0\varepsilon \to 0. We prove that the minimizers converge locally in any Ck{C}^{k}-norm to a solution of a system of generalized harmonic map equations.
Hadiji Rejeb, Han Jongmin, Sohn Juhee
doaj +1 more source
Existence results for Dirichlet double phase differential inclusions [PDF]
, 2023 In this paper we consider a class of double phase differential inclusions. The variational formulation of the problem gives rise to a so-called hemivariational inequality and the corresponding energy functional is not differentiable.
Shengda Zeng +3 more
core +1 more source
Large Energy Bubble Solutions for Schrödinger Equation with Supercritical Growth
Advanced Nonlinear Studies, 2021 We consider the following nonlinear Schrödinger equation involving supercritical growth:
Guo Yuxia, Liu Ting
doaj +1 more source
Analysis of positive solutions to one-dimensional generalized double phase problems
Advances in Nonlinear Analysis, 2022 We study positive solutions to the one-dimensional generalized double phase problems of the form: −(a(t)φp(u′)+b(t)φq(u′))′=λh(t)f(u),t∈(0,1),u(0)=0=u(1),\left\{\begin{array}{l}-(a\left(t){\varphi }_{p}\left(u^{\prime} )+b\left(t){\varphi }_{q}\left(u ...
Son Byungjae, Sim Inbo
doaj +1 more source
Existence and multiplicity of solutions to the Navier boundary value problem for a class of (p(x), q(x))-biharmonic systems [PDF]
, 2020 In this article, we study the following problem with Navier boundary conditions. ∆(a(x, ∆u)) = Fu(x, u, v), in Ω ∆(a(x, ∆v)) = Fv (x, u, v), in Ω, u = v = ∆u = ∆v = 0 on ∂Ω.
TSOULI, Najib +2 more
core +1 more source
A Liouville theorem for the Hénon-Lane-Emden system in four and five dimensions
Advanced Nonlinear Studies, 2022 In the present article, we investigate the following Hénon-Lane-Emden elliptic system: −Δu=∣x∣avp,x∈RN,−Δv=∣x∣buq,x∈RN,\left\{\begin{array}{ll}-\Delta u={| x| }^{a}{v}^{p},& x\in {{\mathbb{R}}}^{N},\\ -\Delta v={| x| }^{b}{u}^{q},& x\in {{\mathbb{R}}}^{N}
Li Hang
doaj +1 more source
A Caccioppoli-type estimate for very weak solutions to obstacle problems with weight [PDF]
, 2011 This paper gives a Caccioppoli-type estimate for very weak solutions to obstacle problems of the A -harmonic equation div A ( x , ∇ u ) = 0 with | A ( x , ξ ) | ≈ w ( x ) | ξ | p - 1 , where 1 < p < ...
Gao Hongya +3 more
core +1 more source
Multiplicity of concentrating solutions for a class of magnetic Schrödinger-Poisson type equation
Advances in Nonlinear Analysis, 2020 In this paper, we study the following nonlinear magnetic Schrödinger-Poisson type ...
Liu Yueli, Li Xu, Ji Chao
doaj +1 more source
On a weighted elliptic equation of N-Kirchhoff type with double exponential growth
Demonstratio Mathematica, 2022 In this work, we study the weighted Kirchhoff problem −g∫Bσ(x)∣∇u∣Ndxdiv(σ(x)∣∇u∣N−2∇u)=f(x,u)inB,u>0inB,u=0on∂B,\left\{\begin{array}{ll}-g\left(\mathop{\displaystyle \int }\limits_{B}\sigma \left(x)| \nabla u\hspace{-0.25em}{| }^{N}{\rm{d}}x\right){\rm ...
Abid Imed, Baraket Sami, Jaidane Rached
doaj +1 more source
Multiple solutions for eigenvalue problems involving the (p,q)-Laplacian [PDF]
, 2023 This paper is devoted to a subject that Professor Csaba Varga suggested during his frequent visits to the University of Perugia and in my regular stays at the “Babe¸s-Bolyai” University.
Patrizia Pucci, PUCCI, Patrizia
core +1 more source