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