We study the existence and nonexistence of solutions to a semilinear elliptic equation with inverse-square potential. The dividing line with respect to existence or nonexistence is given by a critical exponent, which depends on the strength of the potential.
On a semilinear elliptic equation with inverse-square potential / Haïm, Brezis; Louis, Dupaigne; Tesei, Alberto. - In: SELECTA MATHEMATICA. - ISSN 1022-1824. - STAMPA. - 11:1(2005), pp. 1-7. [10.1007/s00029-005-0003-z]
On a semilinear elliptic equation with inverse-square potential
TESEI, Alberto
2005
Abstract
We study the existence and nonexistence of solutions to a semilinear elliptic equation with inverse-square potential. The dividing line with respect to existence or nonexistence is given by a critical exponent, which depends on the strength of the potential.File allegati a questo prodotto
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