On the existence of positive least energy solutions for a coupled Schrödinger system with critical exponent
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4034
Abstract: In this paper, we consider the following coupled Schrodinger system with critical exponent: −Δu=λu+|u|α−2u|v|β−1v,x∈Ω,−Δv=μ|v|2∗−2v+|u|α|v|β−1,x∈Ω,u,v>0,x∈Ω,u=v=0,x∈∂Ω, where Ω⊂RN(N≥3) is a smooth bounded domain, λ > 0,μ≥0, and α,β≥1,α+β=2∗=2NN−2. Under certain conditions on λ and μ, we show… read more here.
Keywords: positive least; critical exponent; least energy; system critical ... See more keywords
Least-energy nodal solutions of critical Kirchhoff problems with logarithmic nonlinearity
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DOI: 10.1007/s13324-020-00386-z
Abstract: In this paper, we are concerned with the existence of least energy sign-changing solutions for the following fractional Kirchhoff problem with logarithmic and critical nonlinearity: $$\begin{aligned} \left\{ \begin{array}{ll} \left( a+b[u]_{s,p}^p\right) (-\Delta )^s_pu = \lambda |u|^{q-2}u\ln… read more here.
Keywords: least energy; energy sign; kirchhoff; nonlinearity ... See more keywords
Existence of least-energy sign-changing solutions for Schrödinger-Poisson system with critical growth
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DOI: 10.1016/j.jmaa.2019.07.052
Abstract: Abstract In this paper, we study the following Schrodinger-Poisson system { − Δ u + V ( x ) u + λ ϕ u = | u | 4 u + μ f ( u… read more here.
Keywords: least energy; poisson system; energy sign; sign changing ... See more keywords
Least energy solutions for a class of fractional Schrödinger-Poisson systems
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DOI: 10.1063/1.5047663
Abstract: In this paper, the existence of a nontrivial least energy solution is considered for the nonlinear fractional Schrodinger-Poisson systems (−Δ)su + V(x)u + ϕu = |u|p−1u and (−Δ)tϕ = u2 in R3, where (−Δ)α is… read more here.
Keywords: energy; poisson systems; nontrivial least; least energy ... See more keywords