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A class of singularly perturbed quasilinear differential equations with interior layers

✍ Scribed by Farrell, P. A.; O’Riordan, E.; Shishkin, G. I.


Book ID
125538354
Publisher
American Mathematical Society
Year
2009
Tongue
English
Weight
351 KB
Volume
78
Category
Article
ISSN
0025-5718

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By means of a penalization scheme due to del Pino and Felmer, we prove the existence of single-peaked solutions for a class of singularly perturbed quasilinear elliptic equations associated with functionals which lack of smoothness. We do not require neither uniqueness assumptions on the limiting au