Geodesic
Nonexistence of positive singular solutions for a class of semilinear elliptic systems
Electronic Journal of Differential Equations, Tome 1996 (1996) no. 8.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We study nonexistence and removability results for nonnegative sub-solutions to $$\left. \eqalign{ \Delta u =\ a(x) v^p \cr \Delta v =\ b(x) u^q \cr} \right\} {\rm in } \Omega \subset R^N,\quad N\ge 3\,, $$ where $p\geq 1, q\geq 1, pq$, and a and b are nonnegative functions. As a consequence of this work, we obtain new results for biharmonic equations.
Classification : 35J60, 31A35
Keywords: elliptic systems, removable singularity, biharmonic equation 
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     author = {Yarur, Cecilia S.},
     title = {Nonexistence of positive singular solutions for a class of semilinear elliptic systems},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {1996},
     number = {8},
     year = {1996},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1996__1996_8_a0/}
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Yarur, Cecilia S. Nonexistence of positive singular solutions for a class of semilinear elliptic systems. Electronic Journal of Differential Equations, Tome 1996 (1996) no. 8. http://geodesic.mathdoc.fr/item/EJDE_1996__1996_8_a0/