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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),$$ \textstyle\begin{cases} \Delta^{2}u - \Delta u + \lambda V( x)u = \alpha( x) f(u) + \mu K(x) \vert u \vert ^{q-2}u… Click to show full abstract
AbstractIn this paper, we study the following biharmonic equation:
{Δ2u−Δu+λV(x)u=α(x)f(u)+μK(x)|u|q−2uin RN,u∈H2(RN),$$ \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}), \end{cases} $$ where Δ2u=Δ(Δu)$\Delta^{2}u=\Delta(\Delta u)$, N>4$N>4$, λ>0$\lambda>0$, 1
Keywords:
nontrivial solution;
solution class;
class sublinear;
existence nontrivial;
delta delta
Journal Title: Boundary Value Problems
Year Published: 2018
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Journal Title: Boundary Value Problems
Year Published: 2018
Link to full text (if available)
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recommendations!