Existence of solution to Kirchhoff type problem with gradient nonlinearity and a perturbation term

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DC Field	Value	Language
dc.contributor.author	Dwivedi, Gaurav	-
dc.date.accessioned	2025-02-08T04:12:18Z	-
dc.date.available	2025-02-08T04:12:18Z	-
dc.date.issued	2022-04	-
dc.identifier.uri	https://link.springer.com/article/10.1007/s41808-022-00164-x	-
dc.identifier.uri	http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17405	-
dc.description.abstract	This article deals with the existence of a weak solution to the Kirchhoff problem: where is a bounded and smooth domain in . We assume that f, h and A are continuous functions and the growth of the non linearity is dependent on u and . We do not assume any growth condition on the perturbation term h. In the case of we consider the exponential growth in the second variable of f. The proof of our main existence result uses an iterative technique based on the mountain pass theorem.	en_US
dc.language.iso	en	en_US
dc.publisher	Springer	en_US
dc.subject	Mathematics	en_US
dc.subject	Existence theorems	en_US
dc.subject	Kirchhoff equations	en_US
dc.subject	Partial differential equations	en_US
dc.subject	Mathematical modeling	en_US
dc.title	Existence of solution to Kirchhoff type problem with gradient nonlinearity and a perturbation term	en_US
dc.type	Article	en_US
Appears in Collections:	Department of Mathematics

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