Existence of multiple solutions to semilinear Dirichlet problem for subelliptic operator

Hua Chen (), Hong-Ge Chen () and Xin-Rui Yuan ()
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Hua Chen: Wuhan University
Hong-Ge Chen: Wuhan University
Xin-Rui Yuan: Wuhan University

Partial Differential Equations and Applications, 2020, vol. 1, issue 6, 1-16

Abstract: Abstract We study the existence of multiple solutions to the Dirichlet problem for a class of semilinear subelliptic equations associated with the Hörmander type operator. By using mountain pass theorem and Ekeland’s variational principle respectively, we obtain two different nontrivial weak solutions for the problem.

Keywords: Finitely degenerate elliptic equations; weighted Sobolev spaces; Generalized Métivier index; 35A15; 35H20; 35J70 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s42985-020-00052-w

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