Abstract
The aim of this study is to investigate the set of critical points of solutions to quasilinear elliptic boundary value problems with Dirichlet null condition on the border of a region convex in one direction, satisfying a symmetry condition. The numberof critical points is estimated by counting the number of connected components of the border having a prescribed unitary tangent vector.
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Acknowledgements
J. Arango and J. Jiménez thank Universidad del Valle in Cali, Colombia for supporting this investigation. A. Salazar thanks Pontificia Universidad Javeriana in Cali for supporting his involvement in the research. The authors also thank the anonymous referee for carefully reading and pointing out several inaccuracies of the manuscript.
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Arango, J., Jiménez, J. & Salazar, A. Critical points of symmetric solutions to planar quasilinear elliptic problems. Monatsh Math 191, 1–11 (2020). https://doi.org/10.1007/s00605-019-01342-1
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DOI: https://doi.org/10.1007/s00605-019-01342-1