Abstract
In this paper, we consider the inequality estimates of the positive solutions for the inhomogeneous biharmonic equation (*)$$-\Delta^{2} u+u^{p}+f(x)=0 \; \rm{in} \; \mathbb{R}^{n},$$ where Δ2 is the biharmonic operator, p > 1, n ≥ 5 and 0 ≢ f ∈ C(ℝn) is a given nonnegative function. We obtain different inequality estimates of Eq.(*), with which the necessary conditions of existence on f and p are also established.
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 callMore From: Acta Mathematicae Applicatae Sinica, English Series
Disclaimer: 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.
