A class of fourth-order elliptic equations with concave and convex nonlinearities in $\mathbb{R}^N$ | Zendy

Zijian Wu | Zendy; Haibo Chen | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

A class of fourth-order elliptic equations with concave and convex nonlinearities in $\mathbb{R}^N$

Author(s) -

Zijian Wu,

Haibo Chen

Publication year - 2021

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2021.1.71

Subject(s) - nehari manifold , regular polygon , mathematics , multiplicity (mathematics) , class (philosophy) , order (exchange) , mathematical analysis , pure mathematics , nonlinear system , physics , geometry , computer science , finance , quantum mechanics , artificial intelligence , economics

In this article, we study the multiplicity of solutions for a class of fourth-order elliptic equations with concave and convex nonlinearities in $\mathbb{R}^N$. Under the appropriate assumption, we prove that there are at least two solutions for the equation by Nehari manifold and Ekeland variational principle, one of which is the ground state solution.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research