Results 41 to 50 of about 658 (73)

The effect of the graph topology on the existence of multipeak solutions for nonlinear Schrödinger equations

, 1998
Abstract and Applied Analysis, Volume 3, Issue 3-4, Page 293-318, 1998.
E. N. Dancer, K. Y. Lam, S. Yan
wiley   +1 more source

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, Park Eunhee, Temam Roger   +2 more
doaj   +1 more source

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, Dyda, Bartłomiej, Kim, Panki   +2 more
core   +1 more source

Blow up solutions for two-dimensional semilinear elliptic problem of Liouville type with nonlinear gradient terms

Demonstratio Mathematica
This work investigates the existence of singular limit solutions for nonlinear elliptic systems. Our main approach focuses on using the nonlinear domain decomposition method to establish a new Liouville-type result.
Baraket Sami, Ghorbal Anis Ben, Mahmoudi Fethi, Mtiri Foued   +3 more
doaj   +1 more source

Semiclassical Asymptotics for the Maxwell - Dirac System

, 2003
We study the coupled system of Maxwell and Dirac equations from a semiclassical point of view. A rigorous nonlinear WKB-analysis, locally in time, for solutions of (critical) order $O(\sqrt{\epsilon})$ is performed, where the small semiclassical ...
Bechouche, Bolte, Booth, C. Sparber, Chadam, Chadam, Donat, Esteban, Esteban, Georgiev, Gérard, Grenier, Gross, Joly, Kunze, Lax, Masmoudi, P. Markowich, Robert, Sparber, Spohn   +20 more
core   +3 more sources

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
doaj   +1 more source

Limiting profile of positive solutions to heterogeneous elliptic BVPs with nonlinear flux decaying to negative infinity on a portion of the boundary

Open Mathematics
This paper ascertains the limiting profile of the positive solutions of heterogeneous logistic elliptic boundary value problems under nonlinear mixed boundary conditions.
Cano-Casanova Santiago
doaj   +1 more source

Concentrating solutions for a planar elliptic problem with large nonlinear exponent and Robin boundary condition

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
doaj   +1 more source

Fisher-KPP dynamics in diffusive Rosenzweig-MacArthur and Holling-Tanner models

, 2019
We prove the existence of traveling fronts in diffusive Rosenzweig-MacArthur and Holling-Tanner population models and investigate their relation with fronts in a scalar Fisher-KPP equation. More precisely, we prove the existence of fronts in a Rosenzweig-
Cai, Hong, Ghazaryan, Anna, Manukian, Vahagn   +2 more
core   +1 more source

Existence and non-degeneracy of the normalized spike solutions to the fractional Schrödinger equations

Advances in Nonlinear Analysis
The 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
doaj   +1 more source