ON THE EXISTENCE OF POSITIVE RADIAL SOLUTIONS OF A NONLINEAR ELLIPTIC EQUATION WITH A CRITICAL POTENTIAL.

Autor:	Bakhadda, Mouhssin, Bouzelmate, Arij
Předmět:	NONLINEAR equations ELLIPTIC equations
Zdroj:	Palestine Journal of Mathematics; 2024 Special Issue, Vol. 13, p36-42, 7p
Abstrakt:	The paper deals with the following elliptic equation with a critical potential div |∇u|p-2∇u + γ |x|-p |u|p-2 u = 0, x ∈ ℝN - {0}, where N > p > 2 and γ > 0. We prove the existence of positive solutions in the radial case. The study relies heavily on comparing γ with ((N - p)/p)p. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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