Three solutions for a mixed boundary value problem involving the one-dimensional \(p\)-Laplacian

DOI10.1016/j.jmaa.2004.05.012zbMath1080.34007OpenAlexW2129344909MaRDI QIDQ1888227

Roberta Salvati, Diego Averna

Publication date: 23 November 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.05.012

zbMATH Keywords

mixed boundary value problemthree critical points theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (12)

A multiplicity result for \(p\)-Lapacian boundary value problems via critical points theorem ⋮ Infinitely many solutions for a mixed doubly eigenvalue boundary value problem ⋮ Multiplicity results for nonlinear mixed boundary value problem ⋮ Ordinary \((p_1, \ldots, p_m)\)-Laplacian systems with mixed boundary value conditions ⋮ Unnamed Item ⋮ Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities ⋮ Two non-zero solutions for Sturm-Liouville equations with mixed boundary conditions ⋮ Positive solutions for the Neumann \(p\)-Laplacian ⋮ Multiple solutions for certain nonlinear second-order systems ⋮ Multiple positive solutions of second-order Sturm-Liouville boundary value problems for impulsive differential equations ⋮ Second-order Sturm-Liouville boundary value problem involving the one-dimensional \(p\)-Laplacian ⋮ Multiple solutions for second-order Sturm-Liouville boundary value problems with subquadratic potentials at zero

Cites Work

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• A minimax inequality and its applications to ordinary differential equations
• On a three critical points theorem
• Twin solutions of boundary value problems for ordinary differential equations and finite difference equations
• Multiple positive solutions for the one-dimensional singular \(p\)-Laplacian.
• A three critical points theorem and its applications to the ordinary Dirichlet problem
• THREE SOLUTIONS FOR A QUASILINEAR TWO-POINT BOUNDARY-VALUE PROBLEM INVOLVING THE ONE-DIMENSIONAL p-LAPLACIAN

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