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Existence and multiplicity of solutions for some Steklov problem involving (p1(x), p2(x))-Laplacian operator
Applicable Analysis ( IF 1.1 ) Pub Date : 2021-08-13 , DOI: 10.1080/00036811.2021.1961758 Rym Chammem 1 , Abdelhakim Sahbani 1
中文翻译:
涉及 (p1(x), p2(x))-Laplacian 算子的一些 Steklov 问题的解的存在性和多样性
更新日期:2021-08-13
Applicable Analysis ( IF 1.1 ) Pub Date : 2021-08-13 , DOI: 10.1080/00036811.2021.1961758 Rym Chammem 1 , Abdelhakim Sahbani 1
Affiliation
ABSTRACT
In this paper, we study the existence and multiplicity of weak solutions to a -Laplacian problem. By means of variational methods, mountain pass lemma and its symmetric version, we establish the existence and multiplicity of solutions.
中文翻译:
涉及 (p1(x), p2(x))-Laplacian 算子的一些 Steklov 问题的解的存在性和多样性
摘要
在本文中,我们研究了一个问题的弱解的存在性和多重性-拉普拉斯问题。通过变分法,山口引理及其对称版本,我们建立解决方案的存在性和多样性。