Nodal Solutions of a p‐Laplacian Equation
By Thomas Bartsch, Zhaoli Liu, Tobias Weth. 2005
161 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/f19f03598157136b97cd869b8ab6f1c220c9d2d9
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In Applied Mathematics
- Nikolaos S. Papageorgiou
- Vicentiu D. Rădulescu
- Zhi-Qiang Wang
- Xiangqing Liu
- Jiaquan Liu
- Zhaoli Liu
- Jianjun Zhang
- Michael E. Filippakis
In Computational Theory and Mathematics
- Nikolaos S. Papageorgiou
- Vicentiu D. Rădulescu
- Zhi-Qiang Wang
- Jiaquan Liu
- Xiangqing Liu
- Michael E. Filippakis
- Alexandru Kristály
- Zhaoli Liu
Citations in the corpus
- Multiple Sign-Changing Solutions for Quasilinear Elliptic Equations via Perturbation Method (2014, methodology): “To establish sign-changing solutions we make use of some abstract results from [4].”
- Coercive and noncoercive nonlinear Neumann problems with indefinite potential (2016, methodology): “We refer to the works of Liu [25], Liu and Liu [24] (Dirichlet problems) and Aizicovici, Papageorgiou and Staicu [3], Kyritsi and Papageorgiou [21] (Neumann problems) for the coercive case and by Bartsch and Liu [4], Bartsch, Liu and Weth [5], Filippakis, Kristaly and Papageorgiou [13], Liu [26], Su”
- Infinitely many sign-changing solutions for the nonlinear Schrödinger–Poisson system (2014, methodology): “Instead, A is used in a similar way to [8] to construct a locally Lipschitz continuous operator B inheriting the main properties of A, and we use B to define the flow.”
- Infinitely many sign-changing solutions for Kirchhoff type problems in R3 (2019, methodology): “method of invariant sets of descending flow has been used widely in dealing with sign-changing solutions of elliptic problem, see [2, 3, 19] and the references therein.”
- Existence of five nonzero solutions with exact sign for A p-laplacian equation (2009, methodology): “Roughly speaking, from these works emerged two approaches to the problem: (a) combining the method of upper-lower solutions with variational techniques (see Dancer-Du [18, 19, 20]); (b) using invariance properties of the negative gradient flow associated to a well-chosen pseudo-gradient vector field”