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EXISTENCE RESULTS FOR STEKLOV PROBLEM WITH NONLINEAR BOUNDARY CONDITION

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

Abstract

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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.
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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

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.

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License

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