Existence and multiplicity of positive solutions for one-dimensional \(p\)-Laplacian problem with sign-changing weight

DOI10.3934/era.2023156OpenAlexW4360762774MaRDI QIDQ6153079

Liangying Miao, Zhiqian He, Man Xu

Publication date: 13 February 2024

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2023156

zbMATH Keywords

multiplicitybifurcationpositive solutionsign-changing weight\(p\)-Laplacian problem

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Degree theory for nonlinear operators (47H11) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Cites Work

• Three positive solutions for one-dimensional image-Laplacian problem with sign-changing weight
• Unilateral global bifurcation phenomena and nodal solutions for \(p\)-Laplacian
• Global structure of positive solutions for nonlocal boundary value problems involving integral conditions
• Global bifurcation phenomena for singular one-dimensional \(p\)-Laplacian
• A homotopic deformation along \(p\) of a Leray-Schauder degree result and existence for \((| u'| ^{p-2}u')'+f(t,u)=0\), \(u(0)=u(T)=0\), \(p>1\)
• Three types of self-similar blow-up for the fourth-order \(p\)-Laplacian equation with source
• Global bifurcation from the eigenvalues of the \(p\)-Laplacian
• Sturm-Liouville eigenvalue problems for half-linear ordinary differential equations
• Three solutions theorem for \(p\)-Laplacian problems with a singular weight and its application
• Nodal solutions of the \(p\)-Laplacian with sign-changing weight
• Multiple positive solutions for one dimensional third order \(p\)-Laplacian equations with integral boundary conditions
• Global existence and finite time blow-up for a class of fractional \(p\)-Laplacian Kirchhoff type equations with logarithmic nonlinearity
• Global bifurcation of the \(p\)-Laplacian and related operators
• Existence and subharmonicity of solutions for nonsmooth \(p\)-Laplacian systems
• Oscillatory solutions and smoothing of a higher-order p-Laplacian operator
• Global bifurcation for N-dimensional p-Laplacian problem and its applications
• Three positive solutions of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:math>-dimensional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:math>-Laplacian with indefinite weight
• Unilateral global bifurcation and nodal solutions for thep-Laplacian with sign-changing weight
• Bifurcation problems for the 𝑝-Laplacian in 𝑅ⁿ

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