Results 41 to 50 of about 60 (54)

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
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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
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Existence of a Positive Solution to a Nonlinear Scalar Field Equation with Zero Mass at Infinity

Advanced Nonlinear Studies, 2018
We establish the existence of a positive solution to the ...
Clapp Mónica, Maia Liliane A.
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An elliptic equation with an indefinite sublinear boundary condition

Advances in Nonlinear Analysis, 2016
We investigate the ...
Ramos Quoirin Humberto, Umezu Kenichiro
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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
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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
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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
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On an evolution equation in sub-Finsler geometry

Analysis and Geometry in Metric Spaces
We study the gradient flow of an energy with mixed homogeneity, which is at the interface of Finsler and sub-Riemannian geometry.
Garofalo Nicola
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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

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