Results 51 to 54 of about 65 (54)

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

Open Mathematics, 2013
Ambrazevičius Algirdas, Eismontaitė Alicija   +1 more
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Solvability of a coupled system of parabolic and ordinary differential equations

Open Mathematics, 2010
Ambrazevičius Algirdas
doaj   +1 more source