Abstract
This paper is concerned with a class of nonlinear elliptic Dirichlet problems approximating degenerate equations. If the degeneration set consists of $k$ connected components, by using variational methods, it is proved the existence of $k^{2}$ distinct nodal solutions, having exactly two nodal regions, whose positive and negative parts concentrate near subsets of the degeneration set.
Citation
Monica Musso. Donato Passaseo. "Sign changing solutions of nonlinear elliptic equations." Adv. Differential Equations 1 (6) 1025 - 1052, 1996. https://doi.org/10.57262/ade/1366895243
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