EXISTENCE RESULTS FOR STEKLOV PROBLEM WITH NONLINEAR BOUNDARY CONDITION

Zehra Yücedağ

doi:10.23884/mejs.2019.5.2.06

EN

EXISTENCE RESULTS FOR STEKLOV PROBLEM WITH NONLINEAR BOUNDARY CONDITION

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.

Keywords

variational methods,,p(x)-Laplace operator,,Steklov boundary value

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.

Details

Primary Language

English

Subjects

Applied Mathematics

Journal Section

Research Article

Authors

Zehra Yücedağ ^* This is me
0000-0003-1950-0163
Türkiye

Publication Date

December 30, 2019

Submission Date

November 29, 2019

Acceptance Date

December 27, 2019

Published in Issue

Year 2019 Volume: 5 Number: 2

DOI

https://doi.org/10.23884/mejs.2019.5.2.06

IZ

https://izlik.org/JA22FF85WP

Cite

RIS / Bibtex

APA

Yücedağ, Z. (2019). EXISTENCE RESULTS FOR STEKLOV PROBLEM WITH NONLINEAR BOUNDARY CONDITION. Middle East Journal of Science, 5(2), 146-154. https://doi.org/10.23884/mejs.2019.5.2.06

AMA

1.Yücedağ Z. EXISTENCE RESULTS FOR STEKLOV PROBLEM WITH NONLINEAR BOUNDARY CONDITION. MEJS. 2019;5(2):146-154. doi:10.23884/mejs.2019.5.2.06

Chicago

Yücedağ, Zehra. 2019. “EXISTENCE RESULTS FOR STEKLOV PROBLEM WITH NONLINEAR BOUNDARY CONDITION”. Middle East Journal of Science 5 (2): 146-54. https://doi.org/10.23884/mejs.2019.5.2.06.

EndNote

Yücedağ Z (December 1, 2019) EXISTENCE RESULTS FOR STEKLOV PROBLEM WITH NONLINEAR BOUNDARY CONDITION. Middle East Journal of Science 5 2 146–154.

IEEE

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

ISNAD

Yücedağ, Zehra. “EXISTENCE RESULTS FOR STEKLOV PROBLEM WITH NONLINEAR BOUNDARY CONDITION”. Middle East Journal of Science 5/2 (December 1, 2019): 146-154. https://doi.org/10.23884/mejs.2019.5.2.06.

JAMA

1.Yücedağ Z. EXISTENCE RESULTS FOR STEKLOV PROBLEM WITH NONLINEAR BOUNDARY CONDITION. MEJS. 2019;5:146–154.

MLA

Yücedağ, Zehra. “EXISTENCE RESULTS FOR STEKLOV PROBLEM WITH NONLINEAR BOUNDARY CONDITION”. Middle East Journal of Science, vol. 5, no. 2, Dec. 2019, pp. 146-54, doi:10.23884/mejs.2019.5.2.06.

Vancouver

1.Zehra Yücedağ. EXISTENCE RESULTS FOR STEKLOV PROBLEM WITH NONLINEAR BOUNDARY CONDITION. MEJS. 2019 Dec. 1;5(2):146-54. doi:10.23884/mejs.2019.5.2.06