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Existence of solutions to a class of semilinear elliptic equations involving general subcritical growth

Published online by Cambridge University Press:  24 July 2014

Yong-Yi Lan  and
Chun-Lei Tang
Yong-Yi Lan
Affiliation:
School of Mathematics and Statistics, Southwest University, Chongqing 400715, People's Republic of China and School of Sciences, Jimei University, Xiamen 361021, People's Republic of China
Chun-Lei Tang
Affiliation:
School of Mathematics and Statistics, Southwest University, Chongqing 400715, People's Republic of China, tangcl@swu.edu.cn
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Abstract

In this paper, we consider the semilinear elliptic equation −Δu = λf(x,u) with the Dirichlet boundary value, and under suitable assumptions on the nonlinear term f with a more general growth condition. Some existence results of solutions are given for all λ > 0 via the variational method and some analysis techniques.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 144 , Issue 4 , August 2014 , pp. 809 - 818
Copyright
Copyright © Royal Society of Edinburgh 2014 

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