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 | References | Similar Articles | Additional Information

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