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Infinitely Many Solutions to a Class of p-Laplace Equations

Infinitely Many Solutions to a Class of p-Laplace Equations In this paper, we study a class of p-Laplace equations. Using variational methods, we prove that there are two solutions and one of these solutions is nonnegative. Using recurrence method, we prove that there are infinitely many solutions to this class of equations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Infinitely Many Solutions to a Class of p-Laplace Equations

Acta Mathematicae Applicatae Sinica , Volume 35 (4) – Dec 19, 2019

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Publisher
Springer Journals
Copyright
Copyright © 2019 by The Editorial Office of AMAS & Springer-Verlag GmbH Germany
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-019-0851-5
Publisher site
See Article on Publisher Site

Abstract

In this paper, we study a class of p-Laplace equations. Using variational methods, we prove that there are two solutions and one of these solutions is nonnegative. Using recurrence method, we prove that there are infinitely many solutions to this class of equations.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Dec 19, 2019

References