Infinitely many sign-changing solutions for concave-convex elliptic problem with nonlinear boundary condition

In this article, we study the existence of sign-changing solutions to $$\displaylines{ -\Delta u+u =|u|^{p-1}u\quad \text{in } \Omega \cr \frac{\partial u}{\partial n}=\lambda |u|^{q-1}u\quad \text{on }\partial \Omega }$$ with $0<q<1<p\leq \frac{N+2}{N-2}$ and $\lambda>0$. By usi...

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Bibliographic Details
Main Authors: Li Wang, Peihao Zhao
Format: Article
Language:English
Published: Texas State University 2015-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/266/abstr.html