On the oscillation of forced second order mixed-nonlinear elliptic equations

• Autorzy: Zhiting Xu
• Języki publikacji: EN

Abstrakty

EN

Oscillation theorems are established for forced second order mixed-nonlinear elliptic differential equations
⎧ $div(A(x)||∇y||^{p-1}∇y) + ⟨b(x),||∇y||^{p-1}∇y⟩ + C(x,y) = e(x)$,
⎨
⎩ $C(x,y) = c(x)|y|^{p-1}y + ∑_{i=1}^m c_i(x)|y|^{p_i-1}y}$
under quite general conditions. These results are extensions of the recent results of Sun and Wong, [J. Math. Anal. Appl. 334 (2007)] and Zheng, Wang and Han [Appl. Math. Lett. 22 (2009)] for forced second order ordinary differential equations with mixed nonlinearities, and include some known oscillation results in the literature

Kategorie tematyczne

• 35J60: Nonlinear elliptic equations
• 35B05: Oscillation, zeros of solutions, mean value theorems, etc.
• 35J15: Second-order elliptic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2010
• Tom: 98
• Numer: 2
• Strony: 169-188

Daty

wydano

2010

Twórcy

autor

Zhiting Xu

• School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, P.R. China

Identyfikatory

DOI

10.4064/ap98-2-5