Results 241 to 250 of about 106,123 (269)

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
openaire   +2 more sources

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
openaire   +2 more sources

Infinitely many radial and non-radial solutions to a quasilinear Schrödinger equation

Nonlinear Analysis: Theory, Methods & Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Xianyong, Wang, Wenbo, Zhao, Fukun
openaire   +1 more source

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
openaire   +1 more source

Non-radial Solutions of a Supercritical Equation in Expanding Domains: The Limit Case

2021
In this article, the main objective is to prove the existence of non-radial nodal (sign-changing) solutions of the above problem (P), in the case where the exponent a is the critical of supercritical exponent, since the rest of the cases have been studied.
openaire   +1 more source

Existence of new type Non-radial solutions for the Schrödinger-Newton equation

Differential and Integral Equations
In this paper, we consider the existence of non-radial positive solutions for the following Schrödinger-Newton equation \begin{equation*} \begin{cases} -\Delta u +V(|y|) u= \Big ( \int_{\mathbb{R}^{3}} \frac{u^{2}(z)}{|y-z|}dz \Big ) u, & y \in\mathbb{R}^{3},\\ u\in H^1(\mathbb{R}^3), \end{cases} \end{equation*} where $V$ is a bounded radially ...
Na Liu, Xiangqing Liu, Lu Yang
openaire   +1 more source

Existence of a radial solution to a 1-Laplacian problem in RN

Applied Mathematics Letters, 2021
Fen Zhou, Zifei Shen
exaly  

The radial solution for an eigenvalue problem of singular augmented Hessian equation

Applied Mathematics Letters, 2022
Xinguang Zhang, Yong Wu, B Wiwatanapataphee   +2 more
exaly  

An Analytical Solution for Longitudinal Impedance of a Large-Diameter Floating Pile in Soil with Radial Heterogeneity and Viscous-Type Damping

Applied Sciences (Switzerland), 2020
Chunyi Cui, Haijiang Li, Kun Meng
exaly  

Non-radial solutions with group invariance for the sublinear Emden–Fowler equation

Nonlinear Analysis: Theory, Methods & Applications, 2001
openaire   +2 more sources