Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation

By Marcelo Moreira Cavalcanti, Valéria N. Domingos Cavalcanti, J. A. Soriano. Advances in Differential Equations, 2001

284 citations recorded by the source corpus.

Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/d9d0d9edc166d5455c708330f882895b161162cf

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In Applied Mathematics

1. Gongbao Li
2. Xianhua Tang
3. Vicentiu D. Rădulescu
4. Hongyu Ye
5. Sitong Chen
6. Xiaoyutao Luo
7. Xiaoming He
8. Binlin Zhang

In Control and Systems Engineering

1. Gongbao Li
2. Hongyu Ye
3. Xiaoyutao Luo
4. Xianhua Tang
5. Sitong Chen
6. Tao Yang
7. Vicentiu D. Rădulescu
8. Kanishka Perera

In Mathematical Physics

1. Xianhua Tang
2. Gongbao Li
3. Xiaoyutao Luo
4. Sitong Chen
5. Vicentiu D. Rădulescu
6. Xiaoming He
7. Wenming Zou
8. Tao Yang

Citations in the corpus

• On a fractional degenerate Kirchhoff-type problem (2017, methodology): “We cite, amid the wide literature on the subject, the works [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 18, 20] where Kirchhoff-type problems (also in their stationary versions) were studied by exploiting different methods and new technical approaches.”
• Ground state solutions of Nehari–Pohozaev type for Kirchhoff-type problems with general potentials (2017, background): “For more mathematical and physical background on Kirchhoff type problems, we refer the readers to [2,4,5,12].”
• Multiplicity of solutions for a class of Kirchhoff type problems (2010, background): “Some important and interesting results can be found in [3, 5, 7], for example.”
• Nontrivial solutions of Kirchhoff-type problems via the Yang index (2006, background): “Some interesting results can be found, for example, in [4,6,10].”
• Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow (2006, background): “Some interesting results can be found, for example, in [4,6,10].”
• Normalized solutions to a class of Kirchhoff equations with Sobolev critical exponent (2021, background): “One can refer to [1, 6, 8, 12, 13, 20, 9] and the references therein for more mathematical and physical background of (1.”
• The existence of normalized solutions for L2-critical constrained problems related to Kirchhoff equations (2014, background): “1) particularly interesting, see [1,2,4,6,7,13,17,20] and the references therein.”