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Please use this identifier to cite or link to this item: http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17378
Title: Ground state solution to n-kirchhoff equation with critical exponential growth and without ambrosetti–rabinowitz condition
Authors: Dwivedi, Gaurav
Keywords: Mathematics
Partial differential equations
Nonlinear analysis
Kirchhoff equations
Issue Date: May-2023
Publisher: Springer
Abstract: This article is focused on the existence of a ground state solution to the Kirchhoff problem: where is a bounded domain with smooth boundary and . We assume that f satisfies critical exponential growth at infinity but does not satisfy the well-known Ambrosetti–Rabinowitz condition. We prove the existence of a ground state weak solution via mountain pass theorem and Nehari manifold technique.
URI: https://link.springer.com/article/10.1007/s12215-023-00902-7
http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17378
Appears in Collections:Department of Mathematics

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