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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Singularly perturbed Dirichlet problems with subquadratic nonlinearities


Author: Albert J. DeSanti
Journal: Trans. Amer. Math. Soc. 303 (1987), 585-593
MSC: Primary 35B25; Secondary 35J65
DOI: https://doi.org/10.1090/S0002-9947-1987-0902786-4
MathSciNet review: 902786
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Abstract: Boundary and interior layer theory is provided for a class of singularly perturbed Dirichlet problems with subquadratic nonlinearities in the derivative terms. The results obtained generalize and extend well-known results on the semilinear problem.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1987-0902786-4
Keywords: Singular perturbation, Dirichlet problems, subquadratic nonlinearities, differential inequalities
Article copyright: © Copyright 1987 American Mathematical Society