Infinitely many solutions of a second-order \(p\)-Laplacian problem with impulsive condition

DOI10.1007/s10492-010-0015-7zbMath1224.34091OpenAlexW2056545360MaRDI QIDQ622864

Minghe Pei, Weigao Ge, Libo Wang

Publication date: 11 February 2011

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

Full work available at URL: https://eudml.org/doc/116468

zbMATH Keywords

critical point theory\(p\)-Laplacianlower solutionupper solutionimpulsive

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (3)

Unnamed Item ⋮ Existence of nonzero solutions for a class of damped vibration problems with impulsive effects. ⋮ Weak solutions for a \(p\)-Laplacian antiperiodic boundary value problem with impulsive effects

Cites Work

• Unnamed Item
• Unnamed Item
• Variational approach to impulsive differential equations
• Existence results for perturbations of the p-Laplacian
• Infinitely many arbitrarily small positive solutions for the Dirichlet problem involving the p-Laplacian
• SOLUTIONS OF p-SUBLINEAR p-LAPLACIAN EQUATION VIA MORSE THEORY
• Weak solutions of quasilinear problems with nonlinear boundary condition

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