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Multiple positive solutions for a critical quasilinear elliptic system |
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| Authors: | Ling Ding Shi-Wu Xiao |
| Institution: | a School of Mathematics and Computer Science, Xiangfan University, Hubei 441053, China b School of Mathematics and Statistics, Southwest University, Chongqing 400715, China |
| Abstract: | The existence of catΩ(Ω) positive solutions for the p-Laplacian system with convex and Sobolev critical nonlinearities is obtained by some standard variational methods, whose key is to construct homotopies between Ω and levels of the functional Jλ,μ, and some analytical techniques. |
| Keywords: | _method=retrieve& _eid=1-s2 0-S0362546X09011225& _mathId=si5 gif& _pii=S0362546X09011225& _issn=0362546X& _acct=C000054348& _version=1& _userid=3837164& md5=eb135e05324e766fefd92c99aeaf5bbd')" style="cursor:pointer p-Laplacian system" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">p-Laplacian system Sobolev critical exponents Contractible sets Homotopy Deformation |
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