Journal
MATHEMATICS
Volume 10, Issue 18, Pages -Publisher
MDPI
DOI: 10.3390/math10183258
Keywords
p-k-Hessian equations; general p-k-Hessian systems; existence; entire solutions; radially symmetric solutions
Categories
Funding
- National Natural Science Foundation of China [11971061]
- Beijing Natural Science Foundation [1222017]
- Shandong Provincial Natural Science Foundation [ZR2021MA054]
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This paper discusses the existence of positive radially symmetric entire solutions of the p-k-Hessian equation and system.
In this paper, we discuss the existence of positive radially symmetric entire solutions of the p-k-Hessian equation sigma(1/k)(k) (lambda(D-i(vertical bar Du vertical bar(p-2)D(j)u))) = alpha(1/k)(vertical bar x vertical bar) f (u), and the general p-k-Hessian system sigma(1/k)(k) (lambda(D-i(vertical bar Du vertical bar(p-2)D(j)u))) = alpha(1/k)(vertical bar x vertical bar) f(1)(v)f(2)(u), sigma(1/k)(k) (lambda(D-i(vertical bar Du vertical bar(p-2)D(j)u))) = beta(1/k) (vertical bar x vertical bar)g(1)(u)g(2)(v).
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