EXISTENCE OF AT LEAST TWO SOLUTIONS FOR DOUBLE PHASE PROBLEM

Bin Ge; Wen-Shuo Yuan

doi:10.11948/20210273

2022 Volume 12 Issue 4

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Bin Ge, Wen-Shuo Yuan. EXISTENCE OF AT LEAST TWO SOLUTIONS FOR DOUBLE PHASE PROBLEM[J]. Journal of Applied Analysis & Computation, 2022, 12(4): 1443-1450. doi: 10.11948/20210273

Citation:

Bin Ge, Wen-Shuo Yuan. EXISTENCE OF AT LEAST TWO SOLUTIONS FOR DOUBLE PHASE PROBLEM[J]. Journal of Applied Analysis & Computation, 2022, 12(4): 1443-1450. doi: 10.11948/20210273

EXISTENCE OF AT LEAST TWO SOLUTIONS FOR DOUBLE PHASE PROBLEM

Bin Ge^1, ,,
Wen-Shuo Yuan¹

1.
College of Mathematical Sciences, Harbin Engineering University, Harbin, 150001, China

Corresponding author: Email: gebin791025@hrbeu.edu.cn(B. Ge)

Abstract

Abstract

This paper concerns with a class of double phase Dirichlet problem depending of one real parameter. Under some appropriate assumptions, we obtain the existence of at least two solutions for this problem using a direct consequence of the celebrated Pucci and Serrin theorem. Our results generalize some existing results.
- Double phase problem /
- variational method /
- existence results
MSC: 35D30, 35J20, 35J60, 35J70, 35J92

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References

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