Multiple positive solutions for a second order Sturm-Liouville boundary value problem with a \(p\)-Laplacian via variational methods
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Publication:1011146
DOI10.1216/RMJ-2009-39-1-325zbMath1171.34012MaRDI QIDQ1011146
Publication date: 7 April 2009
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Nonlinear boundary value problems for ordinary differential equations (34B15) Sturm-Liouville theory (34B24) Variational principles in infinite-dimensional spaces (58E30) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)
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Cites Work
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- Second-order Sturm-Liouville boundary value problem involving the one-dimensional \(p\)-Laplacian
- Critical point theory and Hamiltonian systems
- New existence theorems of positive solutions for Sturm-Liouville boundary value problems
- Existence of three solutions for a two point boundary value problem
- Three symmetric positive solutions for a second-order boundary value problem
- On a three critical points theorem
- The existence of positive solutions for the Sturm-Liouville boundary value problems.
- Multiplicity theorems for the Dirichlet problem involving the \(p\)-Laplacian.
- A three critical points theorem and its applications to the ordinary Dirichlet problem
- Two positive solutions for second-order quasilinear differential equation boundary value problems with sign changing nonlinearities
- On the Existence of Positive Solutions of Ordinary Differential Equations
- THREE SOLUTIONS FOR A QUASILINEAR TWO-POINT BOUNDARY-VALUE PROBLEM INVOLVING THE ONE-DIMENSIONAL p-LAPLACIAN
- Existence results for superlinear semipositone BVP’s
- A general multiplicity theorem for certain nonlinear equations in Hilbert spaces
- Multiple solutions and eigenvalues for third-order right focal boundary value problems
