Results 61 to 70 of about 458 (89)

Multiplicity of k-convex solutions for a singular k-Hessian system

Demonstratio Mathematica
In this article, we study the following nonlinear kk-Hessian system with singular weights Sk1k(σ(D2u1))=λb(∣x∣)f(−u1,−u2),inΩ,Sk1k(σ(D2u2))=λh(∣x∣)g(−u1,−u2),inΩ,u1=u2=0,on∂Ω,\left\{\begin{array}{ll}{S}_{k}^{\frac{1}{k}}(\sigma ({D}^{2}{u}_{1}))=\lambda ...
Yang Zedong, Bai Zhanbing
doaj   +1 more source

Existence of a bound state solution for quasilinear Schrödinger equations

Advances in Nonlinear Analysis, 2017
In this article, we establish the existence of bound state solutions for a class of quasilinear Schrödinger equations whose nonlinear term is asymptotically linear in ℝN{\mathbb{R}^{N}}.
Xue Yan-Fang, Tang Chun-Lei
doaj   +1 more source

A singular perturbation result for a class of periodic-parabolic BVPs

Open Mathematics
In this article, we obtain a very sharp version of some singular perturbation results going back to Dancer and Hess [Behaviour of a semilinear periodic-parabolic problem when a parameter is small, Lecture Notes in Mathematics, Vol. 1450, Springer-Verlag,
Cano-Casanova Santiago, Fernández-Rincón Sergio, López-Gómez Julián   +2 more
doaj   +1 more source

Existence of and decay to equilibrium of the filament end density along the leading edge of the lamellipodium. [PDF]

J Math Biol, 2017
Manhart A, Schmeiser C.
europepmc   +1 more source

A non-local evolution equation model of cell-cell adhesion in higher dimensional space. [PDF]

J Biol Dyn, 2013
Dyson J, Gourley SA, Webb GF.
europepmc   +1 more source

Existence and uniqueness of solution for a singular elliptic differential equation

Advances in Nonlinear Analysis
In 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
doaj   +1 more source

Existence of solutions for a class of quasilinear Schrödinger equations with Choquard-type nonlinearity

Advances in Nonlinear Analysis
For the following quasilinear Choquard-type equation: −Δu−Δ(u2)u+V(x)u=(Iμ*∣u∣p)∣u∣p−2u,x∈RN,-\Delta u-\Delta \left({u}^{2})u+V\left(x)u=\left({I}_{\mu }* {| u| }^{p}){| u| }^{p-2}u,\hspace{1em}x\in {{\mathbb{R}}}^{N}, where N≥3 ...
Shen Zifei, Yang Ning
doaj   +1 more source

Solutions to the coupled Schrödinger systems with steep potential well and critical exponent

Advanced Nonlinear Studies
In the present paper, we consider the coupled Schrödinger systems with critical exponent:−Δui+λVi(x)+aiui=∑j=1dβijuj3uiui  in R3,ui∈H1(RN),i=1,2,…,d, $$\begin{cases}-{\Delta}{u}_{i}+\left(\lambda {V}_{i}\left(x\right)+{a}_{i}\right){u}_{i}=\sum _{j=1}^{d}
Lv Zongyan, Tang Zhongwei
doaj   +1 more source

Monotonicity and symmetry of positive solutions to fractional p(x, ⋅)-Laplacian equation in bounded and unbounded domains

Demonstratio Mathematica
In this paper, we consider the following nonlinear elliptic equations involving the fractional p(x, ⋅)-Laplacian:(−Δ)p(x,⋅)su(x)=g(x,u(x),∇u(x)),x∈Ω,u(x)>0,x∈Ω,u(x)≡0,x∈RN\Ω, $$\begin{cases}{\left(-{\Delta}\right)}_{p\left(x,\cdot \right)}^{s}u\left(x ...
Wang Pengyan, Wang Zhihao
doaj   +1 more source

Solvability of a mathematical model of dissociative adsorption and associative desorption type

Open Mathematics, 2013
Ambrazevičius Algirdas, Eismontaitė Alicija   +1 more
doaj   +1 more source