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A Global bifurcation result for a semilinear elliptic equation
No full textWe consider the problem where A is an annulus of , N[greater-or-equal, slanted]2, p[set membership, variant](1,+[infinity]) and [lambda][set membership, variant](-[infinity],0]. Recent results (Gladiali et al., 2009 [5]) ensure that there exists a sequence of values of the exponent {pk} at which nonradial bifurcation from the radial solution occurs. We prove the existence of global branches of nonradial solutions bifurcating from the curve of radial ones
Separation of branches of O(N− 1)-invariant solutions for a semilinear elliptic equation
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Some nonexistence results for positive solutions of elliptic equations in unbounded domains
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Singular limit of radial solutions in an annulus
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In this paper we study the radial solutions of the problem\cases{-\Delta u=\lambda\mathrm{e}^{u}& \mbox{in} \varOmega,\cr u=0& \mbox{on} \partial\varOmega,}where Ω is an annulus of RN, N≥2 and λ is close to zero.Among the other results we show the existence of a singular limit and some qualitative properties of the solution.
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