\(C^1\)-regularity of solutions for \(p\)-Laplacian problems

DOI10.1016/J.AML.2008.08.014zbMath1178.34025OpenAlexW2082178636MaRDI QIDQ1021819

J. Martínez

Publication date: 9 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2008.08.014

zbMATH Keywords

regularitysystemsexistencebifurcationinitial value problems\(p\)-Laplacian

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15)

Related Items (4)

Lyapunov-type inequalities for two classes of nonlinear systems with anti-periodic boundary conditions ⋮ \(\frac{\pi}{4}\)-tangentiality of solutions for one-dimensional Minkowski-curvature problems ⋮ Lyapunov inequalities for one-dimensional \(p\)-Laplacian problems with a singular weight function ⋮ Lyapunov-type inequalities for two classes of nonlinear systems with homogeneous Dirichlet boundary conditions

Cites Work

• Global bifurcation phenomena for singular one-dimensional \(p\)-Laplacian
• Nodal solutions of second-order boundary value problems with superlinear or sublinear non\-linearities
• Second-order initial value problems with a singular indefinite weight
• Periodic solution for nonlinear systems with \(p\)-Laplacian-like operators
• On the number of positive solutions of nonlinear systems.
• A homotopy along \(p\) for systems with a vector \(p\)-Laplace operator.
• Eigenvalues and the one-dimensional \(p\)-Laplacian
• Multiplicity results for second-order two-point boundary value problems with superlinear or sublinear nonlinearities
• Existence results of sign-changing solutions for singular one-dimensional \(p\)-Laplacian problems
• Postive radial solutions for some quasilinear elliptic systems in exterior domains

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