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A study of nonlinear elliptic problems involving supercritical and exponential growth in R N
Author(s) -
Zhao Lin,
Yan Xingjie
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4520
Subject(s) - mathematics , supercritical fluid , exponential growth , sobolev space , exponential function , nonlinear system , truncation (statistics) , multiplicity (mathematics) , mathematical analysis , laplace operator , thermodynamics , physics , statistics , quantum mechanics
In this paper, we consider the multiplicity of solutions of the p ‐Laplacian problems involving supercritical Sobolev growth and exponential growth in R N via Ricceri principle. By means of the truncation combining with Moser iteration, we can extend the result about the subcritical growth to the supercritical and exponential growth.