On the Morse critical groups for indefinite sublinear elliptic problems |
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| Institution: | 1. School of Mathematics and Statistics, Central South University, Changsha 410083, Hunan, PR China;2. Department of Mathematics, Yunnan Normal University, Kunming 650092, Yunnan, PR China |
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| Abstract: | We consider the Dirichlet problem for the equation −Δu=αu+m(x)u|u|q−2+g(x,u), where q∈(1,2) and m changes sign. We prove that the Morse critical groups at zero of the energy functional of the problem are trivial. As a consequence, existence and bifurcation of nontrivial solutions of the problem are established. |
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