On positive solutions of some semilinear elliptic equations
1991 ◽
Vol 50
(3)
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pp. 343-355
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Keyword(s):
AbstractThe existence of positive solutions of some semilinear elliptic equations of the form −Δu = λf(u) is studied. The major results are a nonexistence theorem which gives a λ* = λ*(f,Ω) > 0 below which no positive solutions exist and a lower bound theorem for umax for Ω a ball. As a corollary of the nonexistence theorem that describes the dependence of the number of solutions on λ, two other nonexistence theorems, and an existence theorem are also proved.
1982 ◽
pp. 133-155
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1986 ◽
Vol 95
(3)
◽
pp. 211-216
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1987 ◽
Vol 98
(3)
◽
pp. 229-249
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1997 ◽
Vol 22
(9-10)
◽
pp. 1671-1690
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2003 ◽
Vol 52
(4)
◽
pp. 1239-1247
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2005 ◽
Vol 215
(1)
◽
pp. 37-51
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