Positive solutions of one-dimensional \(p\)-Laplacian problems with superlinearity

DOI10.3390/SYM10090363zbMath1423.35128OpenAlexW2889155399MaRDI QIDQ2333743

Yanyan Li

Publication date: 13 November 2019

Published in: Symmetry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/sym10090363

zbMATH Keywords

positive solutionsfixed point theoremfirst eigenvaluessuperlinearityone-dimensional \(p\)-Laplacian problems

Mathematics Subject Classification ID

Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

• New results of positive solutions for the Sturm-Liouville problem
• Positive solutions of one-dimensional \(p\)-Laplacian equations and applications to population models of one species
• Nonhomogeneous Dirichlet problems for the \(p\)-Laplacian
• Eigenvalue criteria for existence of positive solutions of second-order, multi-point, \(p\)-Laplacian boundary value problems
• Unilateral global bifurcation phenomena and nodal solutions for \(p\)-Laplacian
• On nonlinear Rayleigh quotients
• Exact multiplicity of positive solutions for a \(p\)-Laplacian equation with positive convex nonlinearity
• A homotopic deformation along \(p\) of a Leray-Schauder degree result and existence for \((| u'| ^{p-2}u')'+f(t,u)=0\), \(u(0)=u(T)=0\), \(p>1\)
• Positive stationary solutions for \(p\)-Laplacian problems with nonpositive perturbation
• Existence and multiplicity of nontrivial solutions for \(p\)-Laplacian Schrödinger-Kirchhoff-type equations
• Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• The existence of positive solutions for the one-dimensional $p$-Laplacian

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