Solutions to Kirchhoff equations with combined nonlinearities
We prove the existence of multiple positive solutions for the Kirchhoff equation $$\displaylines{ -\Big(a+b\int_{\Omega}|\nabla u|^2dx\Big)\Delta u =h(x)u^q+f(x,u), \quad x\in \Omega, \cr u=0, \quad x\in\partial \Omega, }$$ Here $\Omega $ is an open bounded domain in $ R^{N}$ ($N=1,2,3$), $...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2014-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/10/abstr.html |