Existence of nontrivial solutions for generalized quasilinear Schrödinger equations with critical or supercritical growths
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DOI: 10.1016/s0252-9602(17)30113-3
Abstract: Abstract In this paper, we study the following generalized quasilinear Schrodinger equations with critical or supercritical growths - div ( g 2 ( u ) ∇ u ) + g ( u ) g ′… read more here.
Keywords: critical supercritical; nontrivial solutions; equations critical; generalized quasilinear ... 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
The existence of nontrivial solution for a class of sublinear biharmonic equations with steep potential well
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DOI: 10.1186/s13661-018-0949-3
Abstract: AbstractIn this paper, we study the following biharmonic equation: {Δ2u−Δu+λV(x)u=α(x)f(u)+μK(x)|u|q−2uin RN,u∈H2(RN),$$ \textstyle\begin{cases} \Delta^{2}u - \Delta u + \lambda V( x)u = \alpha( x) f(u) + \mu K(x) \vert u \vert ^{q-2}u \quad\text{in } \mathbb{R}^{N},\\ u\in H^{2}(\mathbb{R}^{N}),… read more here.
Keywords: nontrivial solution; solution class; class sublinear; existence nontrivial ... See more keywords