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

Existence of solution to a nonlocal biharmonic problem with dependence on gradient and Laplacian AbstractIn 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Applied Analysis de Gruyter

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

Journal of Applied Analysis , Volume 28 (2): 8 – Dec 1, 2022

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Publisher
de Gruyter
Copyright
© 2022 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1869-6082
eISSN
1869-6082
DOI
10.1515/jaa-2021-2073
Publisher site
See Article on Publisher Site

Abstract

AbstractIn 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.

Journal

Journal of Applied Analysisde Gruyter

Published: Dec 1, 2022

Keywords: Biharmonic operator; gradient dependence; mountain pass theorem; iterative methods; 35J91; 35J35

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