Complete structure of the Fučík spectrum of the p-Laplacian with integrable potentials on an interval

DOI10.1142/S0219199715500856zbMath1357.34049OpenAlexW2190376170MaRDI QIDQ2828654

Wei Chen, Jifeng Chu, Ping Yan, Meirong Zhang

Publication date: 26 October 2016

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199715500856

zbMATH Keywords

\(p\)-LaplacianFučík spectrumstrong continuityintegrable potentialsasymptotic lines

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) General spectral theory of ordinary differential operators (34L05) Parameter dependent boundary value problems for ordinary differential equations (34B08) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (7)

Continuous dependence and estimates of eigenvalues for periodic generalized Camassa-Holm equations ⋮ Continuity of periodic solutions for Lotka-Volterra equations in coefficient functions ⋮ On the Fučík spectrum of the scalar \(p\)-Laplacian with indefinite integrable weights ⋮ Continuity of periodic solutions to nonlinear equations in external forces ⋮ Dancer-Fučik spectrum for fractional Schrödinger operators with a steep potential well on \(\mathbb{R}^N\) ⋮ Continuity of periodic solutions of the Landesman-Lazer equation in external forces ⋮ Continuity and minimization of spectrum related with the periodic Camassa-Holm equation

Cites Work

• Unnamed Item
• A survey on extremal problems of eigenvalues
• Minimization of eigenvalues of one-dimensional \(p\)-Laplacian with integrable potentials
• CONTINUITY AND CONTINUOUS DIFFERENTIABILITY OF HALF-EIGENVALUES IN POTENTIALS
• The First Interval of Stability of a Periodic Equation of Duffing Type
• MAXIMIZATION OF EIGENVALUES OF ONE-DIMENSIONAL p-LAPLACIAN WITH INTEGRABLE POTENTIALS

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