In this paper we consider the problem {-Delta = u(p) + lambda u in A, u > 0 in A, u = 0 on partial derivative A, where A is an annulus of R(N), N >= 2 and p > 1. We prove bifurcation of nonradial solutions from the radial solution in correspondence of a sequence of exponents {p(k)} and for expanding annuli.
Bifurcation and symmetry breaking for a class of semilinear elliptic equations in an annulus / Francesca, Gladiali; Massimo, Grossi; Pacella, Filomena; P. n., Srikanth. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - STAMPA. - 40:3(2011), pp. 295-317. [10.1007/s00526-010-0341-3]
Bifurcation and symmetry breaking for a class of semilinear elliptic equations in an annulus
PACELLA, Filomena;
2011
Abstract
In this paper we consider the problem {-Delta = u(p) + lambda u in A, u > 0 in A, u = 0 on partial derivative A, where A is an annulus of R(N), N >= 2 and p > 1. We prove bifurcation of nonradial solutions from the radial solution in correspondence of a sequence of exponents {p(k)} and for expanding annuli.File allegati a questo prodotto
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