In this article, we establish a variational principle for a class of boundary-value problems with a suitable non-linear boundary conditions. As an application of the variational principle, we study the existence of classical solutions for boundary-value problems.
Submitted August 15, 2015. Published December 7, 2015.
Math Subject Classifications: 34B15, 58E30.
Key Words: Boundary value problem; non-linear boundary value condition; variational principle.
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| Dianwu Yang |
School of Mathematical Sciences
University of Jinan
Jinan 250022, China
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