Sturm theorems for degenerate elliptic equations

DOI10.1090/S0002-9939-01-05979-2zbMath0982.35007MaRDI QIDQ2723502

Walter Allegretto

Publication date: 5 July 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

930225834generalized solutions\(p\)-LaplacianPicone's identitySturm theorems

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Generalized solutions to partial differential equations (35D99)

Related Items

On the dynamics of a degenerate parabolic equation: global bifurcation of stationary states and convergence ⋮ Picone identity for quasilinear elliptic equations with \(p(x)\)-Laplacians and Sturmian comparison theory ⋮ A Picone identity for half-linear elliptic equations and its applications to oscillation theory ⋮ Existence and multiplicity of positive solutions to a quasilinear elliptic equation with strong Allee effect growth rate ⋮ Exact multiplicity of positive solutions for a \(p\)-Laplacian equation with positive convex nonlinearity ⋮ Sturmian comparison theory for half‐linear and nonlinear differential equations via Picone identity ⋮ On the principal eigenvalue of degenerate quasilinear elliptic systems ⋮ Sturm comparison theorems for some elliptic type equations with damping and external forcing terms ⋮ Picone identities for half-linear elliptic operators with \(p(x)\)-laplacians and applications to Sturmian comparison theory ⋮ Bifurcation problems for a class of degenerate quasilinear elliptic equations

Cites Work

• Principal eigenvalues and Sturm comparison via Picone's identity
• Sturm type theorems for solutions of elliptic nonlinear problems
• A Picone's identity for the p-Laplacian and applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Sturm theorems for degenerate elliptic equations