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On a class of semipositone problems with singular Trudinger-Moser nonlinearities. (English) Zbl 1480.35110

Summary: We prove the existence of positive solutions for a class of semipositone problems with singular Trudinger-Moser nonlinearities. The proof is based on compactness and regularity arguments.

MSC:

35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35J91 Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian
35J25 Boundary value problems for second-order elliptic equations
35B09 Positive solutions to PDEs
35A01 Existence problems for PDEs: global existence, local existence, non-existence
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References:

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