EXISTENCE OF ONE WEAK SOLUTION FOR ELLIPTIC EQUATIONS INVOLVING A GENERAL OPERATOR IN DIVERGENCE FORM

Authors

  • S. Amirkhanlou Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran Author
  • M. K. Moghadam Department of Basic Sciences, Sari Agricultural Sciences and Natural Resources University, Sari, Iran Author
  • Y. Khalili Department of Basic Sciences, Sari Agricultural Sciences and Natural Resources University, Sari, Iran Author

DOI:

https://doi.org/10.57016/MV-KG8494SM

Keywords:

Existence result, weak solution, divergence type equations, variational methods, critical point theory

Subjects:

35J35, 35J60

Abstract

In this article, we establish the existence of at least onenon-trivial classical solution for a class of elliptic equations involving a general operator in divergence form, subject to Dirichlet boundary conditions in a smooth bounded domain in $\mathbb{R}^N$. A critical point result for differentiable functionals is discussed.Our technical approach is based on variational methods. In addition, an example to illustrate our results is given.

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Published

2023-07-15

Issue

Vol. 75 No. 3 (2023): Vol. 75, Issue 3

Section

Articles

License

Copyright (c) 2023 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.