On the convergence of the sequence of solutions for a family of eigenvalue problems
Maria Fărcăşeanu, Mihai Mihăilescu, Denisa Stancu‐Dumitru · Mathematical Methods in the Applied Sciences · 2017
The asymptotic behavior of the sequence {un} of positive first eigenfunctions for a class of eigenvalue problems is studied in a bounded domain with smooth boundary ∂Ω. We prove , where δ is the distance function to ∂Ω. Our study complements some earlier results by Payne and Philippin, Bhattacharya, DiBenedetto, and Manfredi, and Kawohl obtained in relation with the “torsional creep problem.”