Results 251 to 260 of about 2,960,114 (284)

Nodal Solutions for Some Nonlinear Elliptic Equations

Applied Mathematics and Computation, 2007
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Anouar Ben Mabrouk
exaly   +3 more sources

Nonexistence of nodal solutions of nonlinear elliptic equations

Nonlinear Analysis: Theory, Methods & Applications, 2001
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Bae, Soohyun, Pahk, Dae Hyeon
openaire   +1 more source

ON NODAL SOLUTIONS OF THE NONLINEAR SCHRÖDINGER–POISSON EQUATIONS

Communications in Contemporary Mathematics, 2012
In this paper, we are interested in nodal solutions of nonlinear Schrödinger–Poisson equations. In particular, for a given natural number k we construct a radial solution changing sign exactly k-times.
Kim, Seunghyeok, Seok, Jinmyoung
openaire   +2 more sources

Multiple nodal and semi-nodal solutions to a nonlinear Choquard-type system

Journal of Mathematical Analysis and Applications, 2022
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Nodal sets of solutions of parabolic equations: II

Communications on Pure and Applied Mathematics, 1994
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Han, Qing, Lin, Fang Hua
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Localized Nodal Solutions for System of Critical Choquard Equations

Communications in Nonlinear Science and Numerical Simulation, 2023
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A solution of the inverse nodal problem

Inverse Problems, 1997
The author considers the Sturm-Liouville problem \[ - y''+q(x)y=\lambda y, \qquad y(0)\cos\alpha+ y'(0)\sin\alpha=0, \quad y(1)\cos\beta+ y'(1)\sin\beta=0 \] and demonstrates how the potential function \(q(x)\) can be determined from observable eigenfunction nodes when either \(\alpha\) or \(\beta=0\) but not both. This extends work by \textit{O.
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Nodal Solutions for a Fractional Choquard Equation

Journal of Mathematical Analysis and Applications, 2018
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Zhang, Wei, Wu, Xian
exaly   +3 more sources

Nodal solutions for nonlinear eigenvalue problems

Nonlinear Analysis, 2004
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Ma, R., Thompson, B.
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Multiple nodal solutions for elliptic equations

Nonlinear Analysis: Theory, Methods & Applications, 2004
In the present study the authors obtain multiple sign-changing solutions for nonlinear elliptic equations under weaker conditions (without assuming that the corresponding functional is \(C^2)\), and multiple critical points for invariant functional under group actions.
Qian, Aixia, Li, Shujie
openaire   +2 more sources