Work

Indefinite perturbations of an unbalanced growth eigenvalue problem

Year: 2024

Type: article

Abstract: We consider indefinite perturbations of a double-phase eigenvalue problem. The perturbation is sublinear or superlinear, and it is in general sign-changing. Using the Nehari manifold, we prove the existence of two constant sign solutions for both cases (sublinear and superlinear), when the parameter \lambda\in (0,\hat{\lambda}^{\alpha}_{1}) with \hat{\lambda}^{\alpha}_{1}>0 being the principal eigenvalue of Dirichlet weighted p -Laplace operator -\Delta^{\alpha}_{p} .

Source: Zeitschrift für Analysis und ihre Anwendungen

DOI: 10.4171/zaa/1782

Authors: Yunru Bai, Nikolaos S. Papageorgiou, Shengda Zeng

Institutions: Guangxi University of Science and Technology, National Technical University of Athens, Chongqing Normal University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404189014

FWCI: 0.781

Cites:

Cited by: 1

Related to: 10