On Non-radially Symmetric Bifurcation in the Annulus(Solutions for Nonlinear Elliptic Equations)
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QUASILINEAR ELLIPTIC EQUATIONS OF THE HENON-TYPE: EXISTENCE OF NON-RADIAL SOLUTIONS
Communications in Contemporary Mathematics, 2009In this work, we prove results on existence and multiplicity of non-radial solutions for a class of singular quasilinear elliptic problems of the form [Formula: see text] where B = {x ∈ ℝN: |x| < 1} (N ≥ 3) is a unit open ball centered at the origin, -∞ < a < (N - p)/p, β > 0 and [Formula: see text].
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NON–RADIAL SOLUTIONS OF A SEMILINEAR ELLIPTIC EQUATION
Acta Mathematica Scientia, 1990Abstract In this paper we consider the eigenvalue problem of semilinear elliptic equation in Rn(n⩾3) −δu + a(x)u = λf(x, u), u ∈H1〈Rn〉.
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Infinitely many non-radial solutions for fractional Nirenberg problem
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Multiplicity of non-radial solutions of critical elliptic problems in an annulus
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2005By looking for critical points of functionals defined in some subspaces of , invariant under some subgroups of O (N), we prove the existence of many positive non-radial solutions for the following semilinear elliptic problem involving critical Sobolev exponent on an annulus, where 2* − 1 := (N + 2)/(N − 2) (N ≥ 4), the domain is an annulus and f : R+
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