Results 231 to 240 of about 54,095 (261)

Non-radial solutions for the fractional Hénon equation with critical exponent

Calculus of Variations and Partial Differential Equations, 2022
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Guo, Yuxia, hu, Yichen, Liu, Ting
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QUASILINEAR ELLIPTIC EQUATIONS OF THE HENON-TYPE: EXISTENCE OF NON-RADIAL SOLUTIONS

Communications in Contemporary Mathematics, 2009
In 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].
Carrião, P. C., de Figueiredo, D. G., Miyagaki, O. H.   +2 more
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Non radial positive solutions for the Hénon equation with critical growth

Calculus of Variations and Partial Differential Equations, 2005
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NON–RADIAL SOLUTIONS OF A SEMILINEAR ELLIPTIC EQUATION

Acta Mathematica Scientia, 1990
Abstract 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

Calculus of Variations and Partial Differential Equations, 2017
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Liu, Chungen, Ren, Qiang
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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, 2005
By 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+
de Figueiredo, Djairo Guedes, Miyagaki, Olímpio Hiroshi   +1 more
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NON-RADIALLY SYMMETRIC SOLUTIONS FOR A SUPERLINEAR AMBROSETTI–PRODI TYPE PROBLEM IN A BALL

Communications in Contemporary Mathematics, 2005
Using a careful analysis of the Morse indices of the solutions obtained by using the Mountain Pass Theorem applied to the associated Euler–Lagrange functional acting both in the full space [Formula: see text] and in its subspace of radially symmetric functions, we prove the existence of non-radially symmetric solutions of a problem of Ambrosetti–Prodi
De Figueiredo, DG, Srikanth, PN, Santra, S   +2 more
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On a class of nonhomogeneous equations of Hénon-type: Symmetry breaking and non radial solutions

Nonlinear Analysis, 2017
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Ronaldo Brasileiro Assunção, Olimpio Hiroshi Miyagaki, Gilberto de Assis Pereira, Bruno Mendes Rodrigues   +3 more
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Infinitely many radial and non-radial solutions to a quasilinear Schrödinger equation

Nonlinear Analysis: Theory, Methods & Applications, 2015
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Yang, Xianyong, Wang, Wenbo, Zhao, Fukun
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Non-radial singular solutions of Lane-Emden equations in $R^N$

Indiana University Mathematics Journal, 2012
We obtain infinitely many non-radial singular solutions of LaneEmden equation ∆u + u = 0 in RN\{0}, N ≥ 4 with N + 1 N − 3 < p < pc(N − 1) by constructing infinitely many radially symmetric regular solutions of equation on SN−1 ∆SN−1w − 2 p− 1 [ N − 2− 2 p− 1 ] w + w = 0.
E.N. Dancer, Zongming Guo, Juncheng Wei
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