PERIODIC SOLUTIONS FOR SINGULAR PERTURBATIONS OF THE SINGULAR ϕ-LAPLACIAN OPERATOR

Author:

BEREANU CRISTIAN1,GHEORGHE DANA12,ZAMORA MANUEL3

Affiliation:

1. Institute of Mathematics "Simion Stoilow", Romanian Academy, 21, Calea Griviţei, RO-010702-Bucharest, Sector 1, România

2. Military Technical Academy, 050141 Bucharest, Romania

3. Departamento de Matemática Aplicada, Universidad de Granada, 18071 Granada, Spain

Abstract

In this paper, using Leray–Schauder degree arguments and the method of lower and upper solutions, we give existence and multiplicity results for periodic problems with singular nonlinearities of the type [Formula: see text] where r, n, e : [0, T] → ℝ are continuous functions and λ > 0. We also consider some singular nonlinearities arising in nonlinear elasticity or of Rayleigh–Plesset type.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Interactions in the Lorentz force equation;Calculus of Variations and Partial Differential Equations;2024-01-08

2. Periodic solutions for indefinite singular perturbations of the relativistic acceleration;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2018-06-22

3. Fisher-Kolmogorov type perturbations of the relativistic operator: differential vs. difference;Proceedings of the American Mathematical Society;2018-01-26

4. Periodic solutions for indefinite singular equations with singularities in the spatial variable and non-monotone nonlinearity;Discrete & Continuous Dynamical Systems - A;2018

5. Construction of lower and upper solutions for first-order periodic problem;Boundary Value Problems;2015-10-20

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