Variational method for precise asymptotic formulas for nonlinear eigenvalue problems |
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| Authors: | Tetsutaro Shibata |
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| Affiliation: | 1. Applied Mathematics Research Group, Graduate School of Engineering, Hiroshima University, Higashi-Hiroshima, 739-8527, Japan
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| Abstract: | We consider the nonlinear eigenvalue problem motivated by the perturbed elliptic sine-Gordon equation  R is an eigenvalue parameter. Our aim is to clarify the asymptotic relationship between L p+1-norm, L ∞-norm of the solutions and λ when these norms are large. To this end, we consider an associated variational problem with this equation on a manifold    | |
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