Infinitely Many Small Energy Solutions to Schrödinger-Kirchhoff Type Problems Involving the Fractional r(·)-Laplacian in RN

Author:

Kim Yun-Ho1ORCID

Affiliation:

1. Department of Mathematics Education, Sangmyung University, Seoul 110-743, Republic of Korea

Abstract

This paper is concerned with the existence result of a sequence of infinitely many small energy solutions to the fractional r(·)-Laplacian equations of Kirchhoff–Schrödinger type with concave–convex nonlinearities when the convex term does not require the Ambrosetti–Rabinowitz condition. The aim of the present paper, under suitable assumptions on a nonlinear term, is to discuss the multiplicity result of non-trivial solutions by using the dual fountain theorem as the main tool.

Funder

Sangmyung University

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Reference54 articles.

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3. Existence and multiplicity of solutions for Schrödinger-Kirchhoff type problems involving the fractional p(·)-Laplacian in RN;Kim;Bound. Value Probl.,2020

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5. Růžička, M. (2000). Lecture Notes in Mathematics, Springer.

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