具有变符号反应的奇异双相方程

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-12-25 DOI:10.1016/j.cnsns.2024.108566

Yunru Bai , Leszek Gasiński , Nikolaos S. Papageorgiou

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引用次数: 0

摘要

我们考虑一个不平衡增长的非自治（p,q）方程和一个具有奇异项和可能改变符号的参数超线性摄动的联合效应的反应。我们证明了对于参数的所有小值，问题至少有两个有界的正解。

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Singular double phase equations with a sign changing reaction

We consider a nonautonomous

(p, q)

-equation with unbalanced growth and a reaction that has the combined effects of a singular term and of a parametric superlinear perturbation which may change sign. We show that for all small values of the parameter, the problem has at least two bounded positive solutions.

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来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.