One-dimensional jumping problem involving $p$-Laplacian

DOI10.11568/kjm.2018.26.4.683zbMath1440.34023OpenAlexW2908401205MaRDI QIDQ5204462

Q-Heung Choi, Tacksun Jung

Publication date: 4 December 2019

Full work available at URL: http://journal.kkms.org/index.php/kjm/article/view/687

zbMATH Keywords

jumping nonlinearityLeray-Schauder degree theoryone-dimensional \(p\)-Laplacian eigenvalue problemone-dimensional \(p\)-Laplacian problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Discontinuous ordinary differential equations (34A36) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

• A homotopic deformation along \(p\) of a Leray-Schauder degree result and existence for \((| u'| ^{p-2}u')'+f(t,u)=0\), \(u(0)=u(T)=0\), \(p>1\)
• Global bifurcation for a class of degenerate elliptic equations with variable exponents
• Some remarks on the number of solutions of some nonlinear elliptic problems
• Nonlinear oscillations in a suspension bridge
• Periodic solution for nonlinear systems with \(p\)-Laplacian-like operators
• An application of a variational reduction method to a nonlinear wave equation
• Eigenvalue problems for the \(p\)-Laplacian
• The study of a nonlinear suspension bridge equation by a variational reduction method
• A nonlinear suspension bridge equation with nonconstant load
• Some General Existence Principles and Results for $(\phi (y')) = qf(t,y,y'),0 < t < 1$
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