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Nonlocal Kirchhoff problems with Trudinger – Moser critical nonlinearities. (English) Zbl 1422.35054

Summary: The paper deals with existence of solutions for a class of nonlinear elliptic equations, involving a nonlocal Kirchhoff term and possibly Trudinger-Moser critical growth nonlinearities. The lack of compactness of the associated energy functional due to the unboundedness of the domain and to the Moser Trudinger embedding has to be overcome via new techniques.

MSC:

35J60 Nonlinear elliptic equations
35B33 Critical exponents in context of PDEs
35R11 Fractional partial differential equations
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