Variational methods and spectral asymptotics of two parameter elliptic eigenvalue problems in a ball

DOI10.1216/RMJM/1181071966zbMath0886.35107OpenAlexW1968428515MaRDI QIDQ1364289

Tetsutaro Shibata

Publication date: 27 April 1998

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL27-1/CONT27-1/CONT27-1.html

zbMATH Keywords

positive solutionasymptotic formulas

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Variational methods for second-order elliptic equations (35J20)

Related Items (1)

Spectral asymptotics of nonlinear elliptic two-parameter problems

Cites Work

• Unnamed Item
• Asymptotics of eigencurves for second order ordinary differential equations. I
• Nonlinear scalar field equations. I: Existence of a ground state
• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• Symmetry and related properties via the maximum principle
• Existence of solitary waves in higher dimensions
• LJUSTERNIK-SCHNIRELMAN Theory on General Level Sets
• Spectral properties of a two parameter nonlinear Sturm-Liouville problem
• Uniqueness of positive radial solutions of Δu+f(u,|xz.sfnc;)=0

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