Extremal values of half-eigenvalues for \(p\)-Laplacian with weights in \(L^1\) balls

DOI10.1155/2010/690342zbMath1207.35172OpenAlexW2118614344WikidataQ59252714 ScholiaQ59252714MaRDI QIDQ623672

Ping Yan

Publication date: 8 February 2011

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2010/690342

zbMATH Keywords

\(p\)-LaplacianDirichlet, Neumann, generalized periodic boundary conditionspositive half-eigenvalues

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Critical exponents in context of PDEs (35B33) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

• Minimization of the principal eigenvalue for an elliptic boundary value problem with indefinite weight, and applications to population dynamics
• Continuity in weak topology: higher order linear systems of ODE
• Extremal values of smallest eigenvalues of Hill's operators with potentials in \(L^1\) balls
• Extremal values of eigenvalues of Sturm-Liouville operators with potentials in \(L^1\) balls
• Various half-eigenvalues of scalar \(p\)-Laplacian with indefinite integrable weights
• Nonuniform nonresonance of semilinear differential equations
• Geometrical aspects of stability theory for Hill's equations
• Variational and non-variational eigenvalues of the \(p\)-Laplacian
• Continuity in weak topology and extremal problems of eigenvalues of the $p$-Laplacian
• THE ROTATION NUMBER APPROACH TO EIGENVALUES OF THE ONE-DIMENSIONAL p-LAPLACIAN WITH PERIODIC POTENTIALS