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Multiplicity results for some nonlinear elliptic problems with asymptotically $$p$$-linear terms. (English) Zbl 1380.35083
The paper under review deals with the study of a class of nonlinear PDEs with gradient term and Dirichlet boundary condition. The authors are interested in the existence of multiple nontrivial bounded solutions in the non-resonant case. The proofs combine refined topological and variational techniques, such as the cohomological index theory, pseudo-index theory, or elliptic estimates.

##### MSC:
 35J60 Nonlinear elliptic equations 35J35 Variational methods for higher-order elliptic equations
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##### References:
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