Existence of solution to a nonlocal biharmonic problem with dependence on gradient and Laplacian-Reference-Cited by-同舟云学术

Existence of solution to a nonlocal biharmonic problem with dependence on gradient and Laplacian

Published:2022-01-28 Issue:2 Volume:28 Page:211-218
ISSN:1425-6908
Container-title:Journal of Applied Analysis
language:en
Short-container-title:

Author:

Shilpa ¹,Dwivedi Gaurav¹^ORCID

Affiliation:

1. Department of Mathematics , Birla Institute of Technology and Science Pilani , Pilani Campus, Vidya Vihar , Pilani , Jhunjhunu, Rajasthan, 333031 , India

Abstract

Abstract In this article, we prove the existence of a solution to a nonlocal biharmonic equation with nonlinearity depending on the gradient and the Laplacian. We employ an iterative technique based on the mountain pass theorem to prove our result.

Funder

Science and Engineering Research Board

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/jaa-2021-2073/pdf

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