On a ‐Kirchhoff equation with critical exponent and an additional nonlocal term via truncation argument |
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| Authors: | Francisco Julio S. A. Corrêa Augusto César dos Reis Costa |
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| Affiliation: | 1. +55 2. 83 3. 2101 4. 1112+55 5. 1112;6. Universidade Federal de Campina Grande, Centro de Ciências e Tecnologia, Unidade Acadêmica de Matemática, Campina Grande, PB, Brazil;7. Universidade Federal do Pará, Instituto de Ciências Exatas e Naturais, Faculdade de Matemática, Belém, PA, Brazil |
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| Abstract: | We study existence and multiplicity of solutions of the following nonlocal  ‐Kirchhoff equation with critical exponent, via truncation argument on the Sobolev space with variable exponent, ![urn:x-wiley:0025584X:media:mana201400198:mana201400198-math-0005]( "urn:x-wiley:0025584X:media:mana201400198:mana201400198-math-0005") where Ω is a bounded smooth domain of  ,  , M, f are continuous functions,  ,  and  are real parameter. |
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| Keywords: | ‐Laplace operator Sobolev space with variable exponent critical exponent truncation argument 58E05 35J60 35J70 |
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