Four solutions for 2m-Laplacian jumping problem crossing two eigenvalues
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초록
This paper is dealt with 2m-Laplacian jumping problem with nonlinearities crossing eigenvalues by using geometric mapping on the finite dimensional reduced sub- space. We get one theorem which shows at least four solutions for 2m-Laplacian jumping problem with nonlinearities crossing two eigenvalues. We obtain this result by finite dimensional reduction method and geometric mapping on the finite reduced subspace.
Abstract
This paper is dealt with 2m-Laplacian jumping problem with nonlinearities crossing eigenvalues by using geometric mapping on the finite dimensional reduced sub- space. We get one theorem which shows at least four solutions for 2m-Laplacian jumping problem with nonlinearities crossing two eigenvalues. We obtain this result by finite dimensional reduction method and geometric mapping on the finite reduced subspace.
참고문헌 (13)
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