Results 1 to 10 of about 106 (70)
Coupled and uncoupled sign-changing spikes of singularly perturbed elliptic systems [PDF]
Communications in Contemporary Mathematics, 2021 We study the existence and asymptotic behavior of solutions having positive and sign-changing components to the singularly perturbed system of elliptic equations in a bounded domain Ω in R N , with N ≥ 4, ε > 0, µ i > 0, λ ij = λ ji < 0, α ij , β ij > 1,
M. Clapp, M. Soares
semanticscholar +1 more source
On the singularly perturbation fractional Kirchhoff equations: Critical case
Advances in Nonlinear Analysis, 2022 This article deals with the following fractional Kirchhoff problem with critical exponent a+b∫RN∣(−Δ)s2u∣2dx(−Δ)su=(1+εK(x))u2s∗−1,inRN,\left(a+b\mathop{\int }\limits_{{{\mathbb{R}}}^{N}}| {\left(-\Delta )}^{\tfrac{s}{2}}u\hspace{-0.25em}{| }^{2}{\rm{d ...
Gu Guangze, Yang Zhipeng
doaj +1 more source
Advanced Nonlinear Studies, 2022 This article studies point concentration phenomena of nonlinear Schrödinger equations with magnetic potentials and constant electric potentials. The existing results show that a common magnetic field has no effect on the locations of point concentrations,
Wang Liping, Zhao Chunyi
doaj +1 more source
Advanced Nonlinear Studies, 2023 In this work, we analyze the asymptotic behavior of a class of quasilinear elliptic equations defined in oscillating (N+1)\left(N+1)-dimensional thin domains (i.e., a family of bounded open sets from RN+1{{\mathbb{R}}}^{N+1}, with corrugated bounder ...
Nakasato Jean Carlos +1 more
doaj +1 more source
Advances in Nonlinear Analysis, 2023 We establish fine bounds for best constants of the fractional subcritical Sobolev embeddings W0s,p(Ω)↪Lq(Ω),{W}_{0}^{s,p}(\Omega )\hspace{0.33em}\hookrightarrow \hspace{0.33em}{L}^{q}(\Omega ), where N≥1N\ge 1 ...
Cassani Daniele, Du Lele
doaj +1 more source
Inviscid, zero Froude number limit of the viscous shallow water system
Open Mathematics, 2021 In this paper, we study the inviscid and zero Froude number limits of the viscous shallow water system. We prove that the limit system is represented by the incompressible Euler equations on the whole space.
Yang Jianwei, Liu Mengyu, Hao Huiyun
doaj +1 more source
Homogenization of a Ginzburg-Landau problem in a perforated domain with mixed boundary conditions
Boundary Value Problems, 2014 In this paper we study the asymptotic behavior of a Ginzburg-Landau problem in a ε-periodically perforated domain of Rn with mixed Dirichlet-Neumann conditions. The holes can verify two different situations.
L. Faella, C. Perugia
semanticscholar +2 more sources
, 2020 We consider star-shaped tubular domains consisting of a number of non intersecting semi-infinite strips of small thickness that are connected by a central region of diameter proportional to the thickness of the strips.
P. Lions, P. Souganidis
semanticscholar +1 more source
Existence of solutions to a class of quasilinear elliptic problems with nonlinear singular terms
Boundary Value Problems, 2013 The authors of this paper deal with the existence of weak solutions to the homogenous boundary value problem for the equation −div(|∇u|p−2∇u)=f(x)uα with f∈Lm(Ω) and α⩾1.
Ying Chu, Wenjie Gao
semanticscholar +2 more sources
Continuum limits of particles interacting via diffusion
Abstract and Applied Analysis, Volume 2004, Issue 3, Page 215-237, 2004., 2004 We consider a two‐phase system mainly in three dimensions and we examine the coarsening of the spatial distribution, driven by the reduction of interface energy and limited by diffusion as described by the quasistatic Stefan free boundary problem. Under the appropriate scaling we pass rigorously to the limit by taking into account the motion of the ...
Nicholas D. Alikakos +2 more
wiley +1 more source