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Amirkhanov, I.V.; Zhidkov, E.P.; Makarenko, G.I.
Joint Inst. for Nuclear Research, Dubna (USSR). Lab. of Computing Techniques and Automation1978
Joint Inst. for Nuclear Research, Dubna (USSR). Lab. of Computing Techniques and Automation1978
AbstractAbstract
[en] An investigation of nonlinear equation d2PHI(r)/dr2-[l(l+1)/r2+ν2] PHI(r)=-A PHIsub(p(k)(r)/rsup(k-1) for boundary conditions PHI(0)=PHI(+infinity)=0 is performed. The firstquation for zero value of parameter l was investigated by many authors before. Arbitrary integer value of l is considered. By means of variational approach the following main theorem is proved. For any values of parameters A > 0, ν2 >0, = 1,2,3,... the condition 1 > k > 5 is enough for the existence of a positive particle-like solution to the boundary value problem (1)-(2)
Original Title
Dostatochnoe uslovie sushchestvovaniya polozhitel'nogo chastitsepodobnogo resheniya uravneniya skalyarnogo polya
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1978; 16 p; 10 refs.
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