A Multiplicity Theorem for p-Superlinear Neumann Problems with a Nonhomogeneous Differential Operator-Reference-Cited by-同舟云学术

A Multiplicity Theorem for p-Superlinear Neumann Problems with a Nonhomogeneous Differential Operator

Published:2014-11-01 Issue:4 Volume:14 Page:895-913
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Barletta Giuseppina¹,Papageorgiou Nikolaos S.²

Affiliation:

1. Dipartimento Patrimonio Architettonico e Urbanistico Facoltà di Architettura, Università di Reggio Calabria, Salita Melissari, 89124 Reggio Calabria (Italy)

2. National Technical University, Departement of Mathematics, Zagrafou Campus, Athens 15780 (Greece)

Abstract

Abstract We consider a nonlinear Neumann problem driven by a nonhomogeneous differential operator (special case is the p-Laplacian) with a (p − 1)-superlinear Carathéodory reaction term, which need not satisfy the usual in such cases Ambrosetti-Rabinowitz condition. Using variational methods based on the critical point theory coupled with suitable truncation techniques, we show that the problem has at least five nontrivial smooth solutions.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2014-0405/pdf

Reference12 articles.

1. Sobolev versus Ho lder local minimizers and global multiplicity for some quasilinear elliptic equations;Garcia Azorero;Math,2000

2. Comparison theorems for some quasilinear degenerate elliptic operators and applications to simmetry and monotonicity results Non Lineaire;Damascelli;Anal,1998

3. Multiple solutions for nonlinear Neumann problems driven by a non - homogeneous diﬀerential operator - in press;Motreanu;MAth

4. Strong maximum principles for supersolutions of quasilinear elliptic equations Nonlin ear;Montenegro;Anal,1999

5. Pairs of positive solutions for p - Laplacian with sublinear and super - linear nonlinearities which do not satisfy the AR - condition Nonlinear;Papageorgiou;Anal,2009

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Multiple constant sign and nodal solutions for nonlinear nonhomogeneous elliptic equations depending on a parameter;Calculus of Variations and Partial Differential Equations;2021-04

2. Nonlinear Nonhomogeneous Elliptic Problems;Current Trends in Mathematical Analysis and Its Interdisciplinary Applications;2019

3. Multiple nodal solutions for nonlinear nonhomogeneous elliptic problems with a superlinear reaction;Nonlinear Analysis: Real World Applications;2018-08

4. Quasilinear elliptic equations on noncompact Riemannian manifolds;Journal of Functional Analysis;2017-12