Conditions for the existence of a fundamental solution of quasilinear elliptic equations and higher-order systems with discontinuous coefficients

1993 ◽  
Vol 54 (6) ◽  
pp. 1274-1276
Author(s):  
E. A. Kalita
Keyword(s):  
Fundamental Solution ◽  
Elliptic Equations ◽  
Discontinuous Coefficients ◽  
Higher Order ◽  
Quasilinear Elliptic Equations ◽  
Quasilinear Elliptic

scholarly journals On the Solvability of Degenerated Quasilinear Elliptic Equations of Higher Order

1994 ◽  
Vol 109 (2) ◽  
pp. 325-347 ◽  
Author(s):  
P. Drabek ◽  
A. Kufner ◽  
F. Nicolosi
Keyword(s):  
Elliptic Equations ◽  
Higher Order ◽  
Quasilinear Elliptic Equations ◽  
Quasilinear Elliptic

scholarly journals Kiguradze classes for radial entire solutions of higher order quasilinear elliptic equations

1992 ◽  
Vol 22 (2) ◽  
pp. 301-363
Author(s):  
Takaŝi Kusano ◽  
Manabu Naito
Keyword(s):  
Elliptic Equations ◽  
Higher Order ◽  
Quasilinear Elliptic Equations ◽  
Entire Solutions ◽  
Quasilinear Elliptic

scholarly journals Existence of positive entire solutions for higher order quasilinear elliptic equations

1994 ◽  
Vol 46 (3) ◽  
pp. 449-465 ◽  
Author(s):  
Yasuhiro FURUSHO ◽  
Takaŝi KUSANO
Keyword(s):  
Elliptic Equations ◽  
Higher Order ◽  
Quasilinear Elliptic Equations ◽  
Entire Solutions ◽  
Quasilinear Elliptic

scholarly journals Weak solutions of degenerated quasilinear elliptic equations of higher order

1996 ◽  
Vol 19 (4) ◽  
pp. 689-706
Author(s):  
Pavel Drábek ◽  
Alois Kufner ◽  
Francesco Nicolosi
Keyword(s):  
Weak Solutions ◽  
Elliptic Equations ◽  
Weighted Sobolev Spaces ◽  
Degree Theory ◽  
Preceding Paper ◽  
Higher Order ◽  
Quasilinear Elliptic Equations ◽  
Monotone Mappings ◽  
Existence Of Weak Solutions ◽  
Quasilinear Elliptic

We prove the existence of weak solutions of higher order degenerated quasilinear elliptic equations. The main tools are the degree theory for generalized monotone mappings and imbedding theorems between weighted Sobolev spaces. The straightforward use of these imbeddings allows us to consider more general assumptions than those in our preceding paper [3].

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