Sequences of weak solutions to a fourth-order elliptic problem

IF 0.6 Q3 MULTIDISCIPLINARY SCIENCES

Atti Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche Matematiche e Naturali Pub Date : 2020-12-13 DOI:10.1478/AAPP.98S2A3

F. Cammaroto

引用次数: 0

Abstract

This paper contains some results of existence of infinitely many solutions to an elliptic equation involving the p(x) - biharmonic operator coupled with Navier boundary conditions where the nonlinearities depend on two real parameters and do not possess any symmetric property. The approach is variational and the main tool is an abstract result of Ricceri.

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一个四阶椭圆型问题的弱解序列

本文给出了p（x）-双调和算子与Navier边界条件耦合的椭圆方程无穷多解存在性的一些结果，其中非线性依赖于两个实参数，不具有任何对称性质。该方法是变分的，主要工具是Ricceri的抽象结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Atti Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche Matematiche e Naturali MULTIDISCIPLINARY SCIENCES-

CiteScore

3.80

自引率

0.00%

发文量

审稿时长

31 weeks

期刊介绍： This journal is of a multi- and inter-disciplinary nature and covers a broad range of fields including mathematics, computer science, physics, chemistry, biology, earth sciences, and their intersection. History of science is also included within the topics addressed by the journal. The transactions of the Pelorian Academy started out as periodic news sheets containing the notes presented by the members of the Divisions into which the Academy has been and still is organized, according to subject areas. The publication of these notes for the Division (“Classe”) of Mathematical, Physical and Natural Sciences is the responsibility of the Editorial Committee, which is composed of the Director of the division with the role of Chairman, the Vice-Director, the Secretary and two or more other members. Besides original research articles, the journal also accepts texts from conferences and invited talks held in the Academy. These contributions are published in a different section of the journal. In addition to the regular issues, single monographic supplements are occasionally published which assemble reports and communications presented at congresses, symposia, seminars, study meetings and other scientific events organized by the Academy or under its patronage. Since 2004 these transactions have been published online in the form of an open access electronic journal.