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Multiplicity results for some nonlinear elliptic problems with asymptotically \(p\)-linear terms - MaRDI portal

Multiplicity results for some nonlinear elliptic problems with asymptotically \(p\)-linear terms (Q2403768)

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Multiplicity results for some nonlinear elliptic problems with asymptotically \(p\)-linear terms
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    Multiplicity results for some nonlinear elliptic problems with asymptotically \(p\)-linear terms (English)
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    12 September 2017
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    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.
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    asymptotically \(p\)-linear problem
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    multiple solutions
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