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Your search keyword '"ILYASOV, YAVDAT"' showing total 2 results
Start Over Author "ILYASOV, YAVDAT" Language english Journal proceedings of the american mathematical society
2 results on '"ILYASOV, YAVDAT"'

2. ON BRANCHES OF POSITIVE SOLUTIONS FOR p-LAPLACIAN PROBLEMS AT THE EXTREME VALUE OF THE NEHARI MANIFOLD METHOD.

Author

ILYASOV, YAVDAT and SILVA, KAYE

Subjects
*MANIFOLDS (Mathematics), *LAPLACIAN operator, *MATHEMATICS, *DIRICHLET integrals, *EIGENVALUES
Abstract

This paper is concerned with variational continuation of branches of solutions for nonlinear boundary value problems, which involve the p-Laplacian, an indefinite nonlinearity, and depend on a real parameter λ. A special focus is given to the extreme value λ∗ of the Nehari manifold that determines the threshold of applicability of the Nehari manifold method. In the main result the existence of two branches of positive solutions for the cases where the parameter λ lies above the threshold λ∗ is obtained. [ABSTRACT FROM AUTHOR]

Published
2018
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