A PHRAGMEN-LINDELÖF ALTERNATIVE FOR A CLASS OF SECOND ORDER QUASILINEAR EQUATIONS IN R3

数学物理学报(英文版) ›› 1996, Vol. 16 ›› Issue (2): 181-191.

A PHRAGMEN-LINDELÖF ALTERNATIVE FOR A CLASS OF SECOND ORDER QUASILINEAR EQUATIONS IN R³

林长好

Dept. of Math., South China Normal Univ., Guangzhou 510631, China

收稿日期:1993-03-13 修回日期:1995-04-15 出版日期:1996-06-25 发布日期:1996-06-25

A PHRAGMEN-LINDELÖF ALTERNATIVE FOR A CLASS OF SECOND ORDER QUASILINEAR EQUATIONS IN R³

Lin Changhao

Dept. of Math., South China Normal Univ., Guangzhou 510631, China

Received:1993-03-13 Revised:1995-04-15 Online:1996-06-25 Published:1996-06-25

摘要/Abstract

摘要： The present paper investigates the asymptotic behavior of solutions for a class of second order inhomogeneous quasilinear equations on a three dimensional semiinfinite cylinder. A Phragmen-Lindelöf type alternative is obtained, i.e., it is shown that in appropriate norms solutions of the equations either grow or decay as some spatial variable tends to infinity.

关键词: quasilinear elliptic equation, energy estimate, Phragmen-Lindelö, f alternative

Abstract: The present paper investigates the asymptotic behavior of solutions for a class of second order inhomogeneous quasilinear equations on a three dimensional semiinfinite cylinder. A Phragmen-Lindelöf type alternative is obtained, i.e., it is shown that in appropriate norms solutions of the equations either grow or decay as some spatial variable tends to infinity.

Key words: quasilinear elliptic equation, energy estimate, Phragmen-Lindelöf alternative

林长好. A PHRAGMEN-LINDELÖF ALTERNATIVE FOR A CLASS OF SECOND ORDER QUASILINEAR EQUATIONS IN R³[J]. 数学物理学报(英文版), 1996, 16(2): 181-191.

Lin Changhao. A PHRAGMEN-LINDELÖF ALTERNATIVE FOR A CLASS OF SECOND ORDER QUASILINEAR EQUATIONS IN R³[J]. Acta mathematica scientia,Series B, 1996, 16(2): 181-191.

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A PHRAGMEN-LINDELÖF ALTERNATIVE FOR A CLASS OF SECOND ORDER QUASILINEAR EQUATIONS IN R³

A PHRAGMEN-LINDELÖF ALTERNATIVE FOR A CLASS OF SECOND ORDER QUASILINEAR EQUATIONS IN R³

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