Abstract
Existence of a nontrivial solution to a semilinear elliptic equation is established by a variational method. We consider the weak solution to , where is (asymptotically linear in both as and . The proof is based on local linking theory, condition and approximation by finite dimensional subspaces for the existence of a nontrivial critical point of a -class functional.
Citation
Mieko Tanaka. "Application of Local Linking to Asymptotically Linear Elliptic Equations." SUT J. Math. 39 (2) 137 - 160, June 2003. https://doi.org/10.55937/sut/1078824194
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