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The asymptotic behavior of the sequence {un} of positive first eigenfunctions for a class of eigenvalue problems is studied in a bounded domain Ω⊂RN with smooth boundary ∂Ω. We prove… Click to show full abstract
The asymptotic behavior of the sequence {un} of positive first eigenfunctions for a class of eigenvalue problems is studied in a bounded domain Ω⊂RN with smooth boundary ∂Ω. We prove un→‖δ‖L2(Ω)−1δ, 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.”
Keywords:
family eigenvalue;
solutions family;
sequence solutions;
eigenvalue problems;
convergence sequence;
sequence
Journal Title: Mathematical Methods in The Applied Sciences
Year Published: 2017
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Journal Title: Mathematical Methods in The Applied Sciences
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!