Enviar artigo por via de e-mail The Multiplicity of Positive Solutions to A Quasilinear Equation Generated By The Il′in–Caffarelli–Cohn–Nirenberg Inequality
- Autores: Nazarov A.1, Neterebskii B.2
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Afiliações:
- St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg State University
- Laser Systems LLC
- Edição: Volume 224, Nº 3 (2017)
- Páginas: 448-455
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239618
- DOI: https://doi.org/10.1007/s10958-017-3427-z
- ID: 239618
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Resumo
The Euler–Lagrange equation for the functional related to the V. P. Il’in inequality also known as the Caffarelli–Kohn–Nirenberg inequality is considered. We prove that if the space dimension is even, then changing some parameters, one can obtain arbitrary many different positive solutions for this equation.
Sobre autores
A. Nazarov
St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg State University
Autor responsável pela correspondência
Email: al.il.nazarov@gmail.com
Rússia, St. Petersburg
B. Neterebskii
Laser Systems LLC
Email: al.il.nazarov@gmail.com
Rússia, St. Petersburg
