TY  - JOUR
ID  - Kajikiya2013
LB  - Kajikiya2013
AU  - Kajikiya, Ryuji
TI  - Sobolev norm estimates of solutions for the sublinear Emden-Fowler equation
ST  - Sobolev norm estimates of solutions for the sublinear Emden-Fowler equation
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2013
VL  - 33
IS  - 4
SP  - 713
EP  - 723
DO  - http://dx.doi.org/10.7494/OpMath.2013.33.4.713
UR  - http://dx.doi.org/10.7494/OpMath.2013.33.4.713
AB  - We study the sublinear Emden-Fowler equation in small domains. As the domain becomes smaller, so does any solution. We investigate the convergence rate of the Sobolev norm of solutions as the volume of the domain converges to zero. The result is obtained by estimating the first eigenvalue of the Laplacian with the help of the variational method.
KW  - Emden-Fowler equation
KW  - sign-changing solution
KW  - positive solution
KW  - variational method
KW  - norm estimate
SN  - 1232-9274
ER  -