The Multiplicity of Positive Solutions to A Quasilinear Equation Generated By The Il′in–Caffarelli–Cohn–Nirenberg Inequality
- Авторы: Nazarov A.1, Neterebskii B.2
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Учреждения:
- St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg State University
- Laser Systems LLC
- Выпуск: Том 224, № 3 (2017)
- Страницы: 448-455
- Раздел: 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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Аннотация
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.
Об авторах
A. Nazarov
St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg State University
Автор, ответственный за переписку.
Email: al.il.nazarov@gmail.com
Россия, St. Petersburg
B. Neterebskii
Laser Systems LLC
Email: al.il.nazarov@gmail.com
Россия, St. Petersburg