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...
Main Authors: | , , |
---|---|
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 |