Results 51 to 60 of about 700 (91)
Boundary layer analysis of nonlinear reaction-diffusion equations in a smooth domain
Advances in Nonlinear Analysis, 2017 In this article, we consider a singularly perturbed nonlinear reaction-diffusion equation whose solutions display thin boundary layers near the boundary of the domain.
Jung Chang-Yeol +2 more
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Hardy inequalities and non-explosion results for semigroups
, 2014 We prove non-explosion results for Schr\"odinger perturbations of symmetric transition densities and Hardy inequalities for their quadratic forms by using explicit supermedian functions of their semigroups.Comment: 21 pages, updated ...
Bogdan, Krzysztof +2 more
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Advances in Nonlinear AnalysisThe present study investigates the existence and non-degeneracy of normalized solutions for the following fractional Schrödinger equation: (−Δ)su+V(x)u=aup+μu,x∈RN,u∈Hs(RN){\left(-\Delta )}^{s}u+V\left(x)u=a{u}^{p}+\mu u,\hspace{1.0em}x\in {{\mathbb{R}}}^
Guo Qing, Zhang Yuhang
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Advances in Nonlinear Analysis, 2019 Let Ω ⊂ ℝ2 be a bounded domain with smooth boundary and b(x) > 0 a smooth function defined on ∂Ω. We study the following Robin boundary value problem:
Zhang Yibin, Shi Lei
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Regularity for critical fractional Choquard equation with singular potential and its applications
Advances in Nonlinear AnalysisWe study the following fractional Choquard equation (−Δ)su+u∣x∣θ=(Iα*F(u))f(u),x∈RN,{\left(-\Delta )}^{s}u+\frac{u}{{| x| }^{\theta }}=({I}_{\alpha }* F\left(u))f\left(u),\hspace{1em}x\in {{\mathbb{R}}}^{N}, where N⩾3N\geqslant 3, s∈12,1s\in \left ...
Liu Senli, Yang Jie, Su Yu
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Singular limit solutions for a 2-dimensional semilinear elliptic system of Liouville type
Advances in Nonlinear Analysis, 2016 We consider the existence of singular limit solutions for a nonlinear elliptic system of Liouville type with Dirichlet boundary conditions. We use the nonlinear domain decomposition method.
Trabelsi Maryem, Trabelsi Nihed
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A time-splitting spectral scheme for the Maxwell-Dirac system
, 2005 We present a time-splitting spectral scheme for the Maxwell-Dirac system and similar time-splitting methods for the corresponding asymptotic problems in the semi-classical and the non-relativistic regimes.
Bao +29 more
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Travelling-wave analysis of a model describing tissue degradation by bacteria
, 2007 We study travelling-wave solutions for a reaction-diffusion system arising as a model for host-tissue degradation by bacteria. This system consists of a parabolic equation coupled with an ordinary differential equation.
Hilhorst, Danielle +2 more
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Two methods for replacing Dirichlet\u27s boundary condition by Robin\u27s boundary condition via penalization [PDF]
, 1999 In this paper we present two methods for replacing Dirichlet\u27s problem by a sequence of Robin\u27s problems. We study the linear parabolic equation as a model problem. We use the first method for the problem with irregular boundary data and the second
E. Marušić-Paloka
core
Existence and uniqueness of solution for a singular elliptic differential equation
Advances in Nonlinear AnalysisIn this article, we are concerned about the existence, uniqueness, and nonexistence of the positive solution for: −Δu−12(x⋅∇u)=μh(x)uq−1+λu−up,x∈RN,u(x)→0,as∣x∣→+∞,\left\{\begin{array}{l}-\Delta u-\frac{1}{2}\left(x\cdot \nabla u)=\mu h\left(x){u}^{q-1}+\
Gu Shanshan, Yang Bianxia, Shao Wenrui
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