APPLICATION OF A MINIMIZATION PRINCIPLE
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Cossio, J. ., & Jiménez, G. . (2023). APPLICATION OF A MINIMIZATION PRINCIPLE. Revista De La Academia Colombiana De Ciencias Exactas, Físicas Y Naturales, 28(106), 21–25. https://doi.org/10.18257/raccefyn.28(106).2004.2011

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Abstract

In this paper we establish the existence of a solution to a nonlinear Dirichlet problem when the derivative at infinity of the nonlinearity is smaller than the first eigenvalue. The proof relies on a fundamental minimization theorem for functionals derived from the Ekeland variational principle.

https://doi.org/10.18257/raccefyn.28(106).2004.2011

Keywords

Ekeland variational principle | weak solution | nonlinear Dirichlet problem
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