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EXISTENCE RESULTS FOR STEKLOV PROBLEM WITH NONLINEAR BOUNDARY CONDITION

Year 2019, Volume: 5 Issue: 2, 146 - 154, 30.12.2019
https://doi.org/10.23884/mejs.2019.5.2.06

Abstract

In this article, we study the nonlinear Steklov boundary value problem. The existence of a nontrivial weak solution is obtained on variable exponent Sobolev spaces, by means of the Mountain Pass theorem.

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References

  • 1. Ayoujil A., On the superlinear Steklov problem involving the p(x)-Laplacian, EJQTDE, Vol.38, pp.1–13, 2014. 2. Ben Ali K., Existence results for Steklov problem involving the p(x)-Laplacian, Complex Var. and Elliptic Equ. 2017.
Year 2019, Volume: 5 Issue: 2, 146 - 154, 30.12.2019
https://doi.org/10.23884/mejs.2019.5.2.06

Abstract

Project Number

-

References

  • 1. Ayoujil A., On the superlinear Steklov problem involving the p(x)-Laplacian, EJQTDE, Vol.38, pp.1–13, 2014. 2. Ben Ali K., Existence results for Steklov problem involving the p(x)-Laplacian, Complex Var. and Elliptic Equ. 2017.
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Details

Primary Language English
Subjects Applied Mathematics
Journal Section Article
Authors

Zehra Yücedağ This is me 0000-0003-1950-0163

Project Number -
Publication Date December 30, 2019
Submission Date November 29, 2019
Acceptance Date December 27, 2019
Published in Issue Year 2019 Volume: 5 Issue: 2

Cite

IEEE Z. Yücedağ, “EXISTENCE RESULTS FOR STEKLOV PROBLEM WITH NONLINEAR BOUNDARY CONDITION”, MEJS, vol. 5, no. 2, pp. 146–154, 2019, doi: 10.23884/mejs.2019.5.2.06.