Multiple positive solutions for \(p\)-Laplacian equations with integral boundary conditions

DOI10.1016/j.jmaa.2017.04.013zbMath1369.34041OpenAlexW2605895788MaRDI QIDQ2396884

You-yuan Yang, Q. R. Wang

Publication date: 26 May 2017

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.2017.04.013

zbMATH Keywords

positive solutionsfixed point theoremsintegral boundary conditionshalf-linear boundary value problems

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (8)

Perturbed integral operator equations of Volterra type with applications to \(p\)-Laplacian equations ⋮ Existence of positive solutions for boundary value problems with \(p\)-Laplacian operator ⋮ Positive solutions for eigenvalue problems of fractional \(q\)-difference equation with \(\varphi\)-Laplacian ⋮ Uniqueness result and iterative method for fourth order \(p\)-Laplacian integral boundary value problems with different nonlinear terms ⋮ Unnamed Item ⋮ Multiple positive solutions for nonlinear mixed fractional differential equation with \(p\)-Laplacian operator ⋮ Existence and nonexistence of positive solutions for fractional three-point boundary value problems with a parameter ⋮ Multiple positive solutions for one dimensional third order \(p\)-Laplacian equations with integral boundary conditions

Cites Work

• Multiple positive solutions for a second-order boundary value problem with integral boundary conditions
• Existence and iteration of monotone positive solutions for multipoint boundary value problem with \(p\)-Laplacian operator
• Existence of multiple positive solutions for one-dimensional \(p\)-Laplacian
• Three positive fixed points of nonlinear operators on ordered Banach spaces
• Positive solutions of three-point boundary value problems for the one-dimensional \(p\)-Laplacian with infinitely many singularities.
• Existence of three positive solutions for \(m\)-point boundary-value problems with one-dimensional \(p\)-Laplacian
• Existence of three positive solutions for quasi-linear boundary value problem
• Multiple positive solutions for some \(p\)-Laplacian boundary value problems
• Second-order differential operators with integral boundary conditions and generation of analytic semigroups
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