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Nodal solutions for some nonlinear elliptic equations
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anouar Ben Mabrouk +1 more
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Multiple nodal and semi-nodal solutions to a nonlinear Choquard-type system
Journal of Mathematical Analysis and Applications, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nodal sets of solutions of parabolic equations: II
Communications on Pure and Applied Mathematics, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Han, Qing, Lin, Fang Hua
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A solution of the inverse nodal problem
Inverse Problems, 1997The 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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Localized Nodal Solutions for System of Critical Choquard Equations
Communications in Nonlinear Science and Numerical Simulation, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nodal solutions for a fractional Choquard equation
Journal of Mathematical Analysis and Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Wei, Wu, Xian
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Nodal solutions for nonlinear eigenvalue problems
Nonlinear Analysis, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ma, R., Thompson, B.
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Multiple nodal solutions for elliptic equations
Nonlinear Analysis: Theory, Methods & Applications, 2004In 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
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