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Title: | Biharmonic elliptic problems with second Hessian and gradient nonlinearities |
Authors: | Dwivedi, Gaurav |
Keywords: | Mathematics Partial differential equations Biharmonic equations Nonlinear analysis |
Issue Date: | Nov-2022 |
Publisher: | Wiley |
Abstract: | We establish the existence of a solution to the following problem: where , is a smooth and bounded domain and , where is the ith eigenvalue of symmetric matrix . We assume that and are parameters. Moreover, we assume that if and if . We use variational arguments and an iterative technique to prove our results. |
URI: | https://onlinelibrary.wiley.com/doi/full/10.1002/mana.202100069 http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17379 |
Appears in Collections: | Department of Mathematics |
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