Eigenvalue asymptotics and a nonlinear Schrödinger equation

DOI10.1007/BF02761304zbMath0786.35097MaRDI QIDQ1261913

David E. Edmunds, Raffaele Chiappinelli

Publication date: 7 September 1993

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorLyusternik-Schnirelman theoryexistence of infinitely many eigenvaluesembedding of the weighted Sobolev space

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (2)

Compact embeddings of some weighted Sobolev spaces on ℝ^N ⋮ L²ESTIMATES FOR THE EIGENFUNCTIONS CORRESPONDING TO REAL EIGENVALUES OF THE TRICOMI OPERATOR

Cites Work

• Some aspects of nonlinear eigenvalue problems
• Asymptotic distribution of Liusternik-Schnirelman eigenvalues for elliptic nonlinear operators
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