- 作者：Marta Garcd ; a-Huidobro ; Raú ; l Maná ; sevich and Cecilia S. Yarur
- 关键词：p-Laplacian ; Weight functions ; Energy identities
- 刊名：Journal of Differential Equations
- 出版年：2006
- 出版时间：1 April 2006
- 年：2006
- 卷：223
- 期：1
- 页码：51-95
- 全文大小：376 K
<div style=""margin-left: 25 !important; width: 600px !important"">
div><div style=""margin-left: 25 !important; width: 600px !important"">where decoration:none; color:black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6WJ2-4GBWJSD-2&_mathId=mml3&_user=10&_cdi=6866&_rdoc=4&_handle=V-WA-A-W-E-MsSAYWW-UUW-U-AAVCVWBAVW-AAVBUUBEVW-DBZBEZZYV-E-U&_acct=C000050221&_version=1&_userid=10&md5=2d47d0fda95d8cad8ded765a73e27c6f"" title=""Click to view the MathML source"">q>p>1. By considering positive radial solutions to this equation that are bounded, we are led to study the initial value problemdiv>
<div style=""margin-left: 25 !important; width: 600px !important"">
div><div style=""margin-left: 25 !important; width: 600px !important"">where decoration:none; color:black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6WJ2-4GBWJSD-2&_mathId=mml5&_user=10&_cdi=6866&_rdoc=4&_handle=V-WA-A-W-E-MsSAYWW-UUW-U-AAVCVWBAVW-AAVBUUBEVW-DBZBEZZYV-E-U&_acct=C000050221&_version=1&_userid=10&md5=0c87f406100e51028e6031d783bdbb25"" title=""Click to view the MathML source"">a(r)=r(N-1)A(r) and decoration:none; color:black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6WJ2-4GBWJSD-2&_mathId=mml6&_user=10&_cdi=6866&_rdoc=4&_handle=V-WA-A-W-E-MsSAYWW-UUW-U-AAVCVWBAVW-AAVBUUBEVW-DBZBEZZYV-E-U&_acct=C000050221&_version=1&_userid=10&md5=801a6fa5d26346ba90c0a15738035aed"" title=""Click to view the MathML source"">b(r)=r(N-1)B(r). By means of two key functions m and decoration:none; color:black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6WJ2-4GBWJSD-2&_mathId=mml7&_user=10&_cdi=6866&_rdoc=4&_handle=V-WA-A-W-E-MsSAYWW-UUW-U-AAVCVWBAVW-AAVBUUBEVW-DBZBEZZYV-E-U&_acct=C000050221&_version=1&_userid=10&md5=36054f0a51b8533ebfe9d311de248e5b"" title=""Click to view the MathML source"">Bq defined below, we obtain several new results that allow us to classify solutions to this initial value problem as being respectively crossing, slowly decaying, or rapidly decaying. We also generalize several results in Clément et al. (Asymptotic Anal. 17 (1998) 13–29), Kawano et al. (Funkcial. Ekvac 36 (1993) 121–145), Yanagida and Yotsutani (Arch. Rational Mech. Anal. 124 (1993) 239–259), Yanagida and Yotsutani (J. Differential Equations 115 (1995) 477–502), Yanagida and Yotsutani (Arch. Rational Mech. Anal. 134 (1996) 199–226).