ON ENTIRE RADIAL SOLUTIONS OF SOME QUASI-LINEAR ELLIPTIC-EQUATIONS

Authors
POKHOZHAEV SI
Citation
Si. Pokhozhaev, ON ENTIRE RADIAL SOLUTIONS OF SOME QUASI-LINEAR ELLIPTIC-EQUATIONS, Sbornik. Mathematics, 77(2), 1994, pp. 265-277
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Sbornik. Mathematics → ACNP
ISSN journal
10645616
Volume
77
Issue
2
Year of publication
1994
Pages
265 - 277
Database
ISI
SICI code
1064-5616(1994)77:2<265:OERSOS>2.0.ZU;2-Y
Abstract
Equations of the form DELTAu + K(Absolute value of x)\u\p-2u = h(Absol ute value of x), x is-an-element-of R(N), N greater-than-or-equal-to 3 , with p > 1 are considered in the class of real-valued radial functio ns. A priori and asymptotic estimates that are best possible in the cl ass of equations under consideration are established on the basis of a new integral identity. Existence theorems are obtained for entire rad ial solutions. Bibliography: 7 titles.