Results 21 to 30 of about 54,095 (261)
Non-radial multipeak positive solutions for the Schrödinger–Poisson problem
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Long, Wei, Xiong, Zhiwei
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Non-radial solutions for some semilinear elliptic equations on the disk [PDF]
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Arioli, Gianni, Koch, Hans
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Blowup solutions and their blowup rates for parabolic equations with non-standard growth conditions
This paper concerns classical solutions for homogeneous Dirichlet problem of parabolic equations coupled via exponential sources involving variable exponents. We first establish blowup criteria for positive solutions.
Bingchen Liu, Fengjie Li
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A NON-RADIALLY SYMMETRIC SOLUTION TO A CLASS OF ELLIPTIC EQUATION WITH KIRCHHOFF TERM
Summary: We consider the following equation with Kirchhoff term \(-(a+b\int_{\mathbb{R}^3} |\nabla u|^2 dx) \Delta u + u =|u|^{p-2}u, u \in H^1 (\mathbb{R}^3)\), where \(a, b\) are positive constants and \(2 < p < 6\). By deducing a variant variational identity and a constraint set, we are able to prove the existence of a non-radially symmetric ...
Chen, Jianqing, Tang, Xiuli
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Analysis of Bingham fluid radial flow in smooth fractures
Solutions for radial flow of a Bingham fluid are analyzed in this paper. It aims to eliminate confusions in the literature concerning the plug flow region in different solutions for analysis and design of grouting in rock fractures. The analyses based on
Liangchao Zou +2 more
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Non-radial solutions to a bi-harmonic equation with negative exponent [PDF]
We prove the existence of non-radial entire solution to $$Δ^2 u+u^{-q}=0\quad\text{in }\mathbb{R}^3,\quad u>0,$$ for $q>1$. This answers an open question raised by P. J. McKenna and W. Reichel (E. J. D. E. \textbf{37} (2003) 1-13).
Hyder, Ali, Wei, Juncheng
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Complex scalars in U(1)-symmetric potentials can form stable Q-balls, non-topological solitons that correspond to spherical bound-state solutions. If the U(1) charge of the Q-ball is large enough, it can support a tower of unstable radial excitations ...
Yahya Almumin +3 more
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In this paper, we consider the non-existence and existence of solutions for a generalized quasilinear Schrödinger equation with a Kirchhoff-type perturbation.
Guofa Li +3 more
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Existence of non-radial solutions of an elliptic system
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Multiple non-radial solutions for coupled Schrödinger equations
The paper deals with the existence of non-radial solutions for an $N$-coupled nonlinear elliptic system. In the repulsive regime with some structure conditions on the coupling and for each symmetric subspace of rotation symmetry, we prove the existence of an infinite sequence of non-radial positive solutions and an infinite sequence of non-radial nodal
Xiaopeng Huang, Haoyu Li, Zhi-Qiang Wang
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