multiple positive solutions for quasilinear elliptic systems

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ID: 185246
2013
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Ranked #156 of 219 articles by views in icsoft 2006 - 1st international conference on software and data technologies, proceedings

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Abstract
In this article, we investigate how the coefficient $f(z)$ affects the number of positive solutions of the quasilinear elliptic system $$displaylines{ -Delta_{p}u =lambda g(z)|u|^{q-2}u+frac{alpha}{alpha+eta} f(z)|u|^{alpha-2}u|v|^{eta} quadhbox{in }Omega,cr -Delta_{p}v =mu h(z)|v|^{q-2}v +frac{eta}{alpha+eta}f(z)|u|^{alpha}|v|^{eta-2}v quadhbox{in }Omega,cr u=v=0quadhbox{on }partialOmega, }$$ where $0inOmegasubset mathbb{R}^{N}$ is a bounded domain, $alpha >1$, $eta>1$ and $1<p<q<alpha+eta=p^{*}=frac{Np}{N-p}$ for $N>2p$.
Reference Key
li2013electronicmultiple Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Qin Li;Zuodong Yang
Journal icsoft 2006 - 1st international conference on software and data technologies, proceedings
Year 2013
DOI
DOI not found
URL
http://ejde.math.txstate.edu/Volumes/2013/15/abstr.html
Keywords Keywords not found

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