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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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