DSpace logo

Please use this identifier to cite or link to this item: http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17405
Title: Existence of solution to Kirchhoff type problem with gradient nonlinearity and a perturbation term
Authors: Dwivedi, Gaurav
Keywords: Mathematics
Existence theorems
Kirchhoff equations
Partial differential equations
Mathematical modeling
Issue Date: Apr-2022
Publisher: Springer
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.
URI: https://link.springer.com/article/10.1007/s41808-022-00164-x
http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17405
Appears in Collections:Department of Mathematics

Files in This Item:
There are no files associated with this item.


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.