ON A ROBIN PROBLEM IN ORLICZ-SOBOLEV SPACES

Volume: 9 Number: 2 June 1, 2019
  • Mustafa Avcı
EN

ON A ROBIN PROBLEM IN ORLICZ-SOBOLEV SPACES

Abstract

In the present paper, we deal with the existence of solutions to a class of an elliptic equation with Robin boundary condition. The problem is settled in Orlicz-Sobolev spaces and the main tool used is Ekeland's variational principle.

Keywords

References

  1. [1] Adams, R., (1975), Sobolev Spaces, Academic Press, New York.
  2. [2] Afrouzi, G.A., Mahdavi, S. and Naghizadeh, Z., (2007), The Nehari Manifold for p-Laplacian Equation with Dirichlet Boundary Condition, Nonlinear Analysis: Modelling and Control, 12 (2), pp. 143155.
  3. [3] Avci, M.,(2013), Ni-Serrin type equations arising from capillarity phenomena with non-standard growth, Boundary Value Problems, 55, pp. 1-13.
  4. [4] Avci, M. and Pankov, A., (2015), Nontrivial Solutions of Discrete Nonlinear Equations with Variable Exponent, J. Math. Anal. Appl., 431, pp. 22-33.
  5. [5] Avci, M., (2013), Existence and Multiplicity of Solutions for Dirichlet Problems Involving the p(x)- Laplace Operator, Elec. J. Dif. Eqn., 14, pp. 1-99.
  6. [6] Avci, M. and Pankov, A., (2018), Multivalued Elliptic Operators with Nonstandard Growth, Advances in Nonlinear Analysis, 7 (1), pp. 35-48.
  7. [7] Bonanno, G., Molica Bisci, G. and R˘adulescu, V., (2011), Existence of Three Solutions for a Nonhomogeneous Neumann Problem Through Orlicz-Sobolev Spaces, Nonlinear Anal. TMA, 18, pp. 4785- 4795.
  8. [8] Bonanno, G., Molica Bisci, G. and R˘adulescu, V., (2012), Arbitrarily Small Weak Solutions for a Nonlinear Eigenvalue Problem in Orlicz-Sobolev Spaces, Monatsh. Math., 165, pp. 305-318.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Mustafa Avcı This is me

Publication Date

June 1, 2019

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2019 Volume: 9 Number: 2

APA
Avcı, M. (2019). ON A ROBIN PROBLEM IN ORLICZ-SOBOLEV SPACES. TWMS Journal of Applied and Engineering Mathematics, 9(2), 246-256. https://izlik.org/JA64MF89GU
AMA
1.Avcı M. ON A ROBIN PROBLEM IN ORLICZ-SOBOLEV SPACES. JAEM. 2019;9(2):246-256. https://izlik.org/JA64MF89GU
Chicago
Avcı, Mustafa. 2019. “ON A ROBIN PROBLEM IN ORLICZ-SOBOLEV SPACES”. TWMS Journal of Applied and Engineering Mathematics 9 (2): 246-56. https://izlik.org/JA64MF89GU.
EndNote
Avcı M (June 1, 2019) ON A ROBIN PROBLEM IN ORLICZ-SOBOLEV SPACES. TWMS Journal of Applied and Engineering Mathematics 9 2 246–256.
IEEE
[1]M. Avcı, “ON A ROBIN PROBLEM IN ORLICZ-SOBOLEV SPACES”, JAEM, vol. 9, no. 2, pp. 246–256, June 2019, [Online]. Available: https://izlik.org/JA64MF89GU
ISNAD
Avcı, Mustafa. “ON A ROBIN PROBLEM IN ORLICZ-SOBOLEV SPACES”. TWMS Journal of Applied and Engineering Mathematics 9/2 (June 1, 2019): 246-256. https://izlik.org/JA64MF89GU.
JAMA
1.Avcı M. ON A ROBIN PROBLEM IN ORLICZ-SOBOLEV SPACES. JAEM. 2019;9:246–256.
MLA
Avcı, Mustafa. “ON A ROBIN PROBLEM IN ORLICZ-SOBOLEV SPACES”. TWMS Journal of Applied and Engineering Mathematics, vol. 9, no. 2, June 2019, pp. 246-5, https://izlik.org/JA64MF89GU.
Vancouver
1.Mustafa Avcı. ON A ROBIN PROBLEM IN ORLICZ-SOBOLEV SPACES. JAEM [Internet]. 2019 Jun. 1;9(2):246-5. Available from: https://izlik.org/JA64MF89GU