Abstract
We prove that for some supercritical exponents p > N + 2 N − 2 and for some smooth domains D in R N there are infinitely many (distinct) positive solutions to the following Lane–Emden–Fowler equation: { − Δ u = u p , u > 0 , in D , u = 0 , on ∂ D This seems to be the first result for such type of equations.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
