By combining techniques of nonsmooth critical point theory with a sharp estimate of Trudinger-Moser type, we prove the existence of an infinite number of solutions for a class of perturbed symmetric elliptic problems at exponential growth in ℝ2 covering the full range of subcriticality allowed.
Multiple solutions for quasilinear elliptic problems in R 2 with exponential growth / M. Squassina, C.Tarsi. - In: MANUSCRIPTA MATHEMATICA. - ISSN 0025-2611. - 106:3(2001), pp. 315-337.
Multiple solutions for quasilinear elliptic problems in R 2 with exponential growth
C.TarsiUltimo
2001
Abstract
By combining techniques of nonsmooth critical point theory with a sharp estimate of Trudinger-Moser type, we prove the existence of an infinite number of solutions for a class of perturbed symmetric elliptic problems at exponential growth in ℝ2 covering the full range of subcriticality allowed.
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