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On the convergence of solutions for a class of nonconformal FEM schemes for quasilinear elliptic equations

✍ Scribed by Fedotov, E. M.


Book ID
121603880
Publisher
Springer
Year
2013
Tongue
English
Weight
397 KB
Volume
49
Category
Article
ISSN
0012-2661

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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