Semiclassical solutions of perturbed biharmonic equations with critical nonlinearity

We consider the perturbed biharmonic equations $$ \varepsilon^4 \Delta^2 u+V(x)u=f(x,u),\quad x\in\mathbb{R}^N $$ and $$ \varepsilon^4 \Delta^2 u+V(x)u=Q(x)|u|^{2^{\ast\ast}-2}u+f(x,u), \quad x\in\mathbb{R}^N $$ where $\Delta^2$ is the biharmonic operator, $N\geq 5$, $2^{\ast\ast}=\frac{2N...

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Bibliographic Details
Main Authors: Yubo He, Xianhua Tang, Wen Zhang
Format: Article
Language:English
Published: Texas State University 2017-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/19/abstr.html