一类非齐次p(x)-Kirchhoff型方程的多重解

IF 1.1 Q1 MATHEMATICS

Journal of Nonlinear Functional Analysis Pub Date : 2023-01-01 DOI:10.23952/jnfa.2023.17

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Multiple solutions for a class of non-homogeneous p(x)-Kirchhoff type equations

. The main aim of this paper is to investigate the existence of nontrivial solutions for a class of variable exponent p ( x ) -Kirchhoff type equations. We prove the existence of three solutions by using the mountain pass theorem and Ekeland’s variational principle. Moreover, when λ = 0, we obtain the existence of inﬁnite many solutions by using the symmetric mountain pass theorem.

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来源期刊

Journal of Nonlinear Functional Analysis Multiple-

CiteScore

2.40

自引率

0.00%

发文量

期刊介绍： Journal of Nonlinear Functional Analysis focuses on important developments in nonlinear functional analysis and its applications with a particular emphasis on topics include, but are not limited to: Approximation theory; Asymptotic behavior; Banach space geometric constant and its applications; Complementarity problems; Control theory; Dynamic systems; Fixed point theory and methods of computing fixed points; Fluid dynamics; Functional differential equations; Iteration theory, iterative and composite equations; Mathematical biology and ecology; Miscellaneous applications of nonlinear analysis; Multilinear algebra and tensor computation; Nonlinear eigenvalue problems and nonlinear spectral theory; Nonsmooth analysis, variational analysis, convex analysis and their applications; Numerical analysis; Optimal control; Optimization theory; Ordinary differential equations; Partial differential equations; Positive operator inequality and its applications in operator equation spectrum theory and so forth; Semidefinite programming polynomial optimization; Variational and other types of inequalities involving nonlinear mappings; Variational inequalities.