Yayınlanmış 1 Ocak 2018
| Sürüm v1
Dergi makalesi
Açık
Multivalued elliptic operators with nonstandard growth
Oluşturanlar
- 1. Batman Univ, Fac Econ & Adm Sci, Batman, Turkey
- 2. Morgan State Univ, Math Dept, Baltimore, MD 21239 USA
Açıklama
The paper is devoted to the Dirichlet problem for monotone, in general multivalued, elliptic equations with nonstandard growth condition. The growth conditions are more general than the well-known p(x) growth. Moreover, we allow the presence of the so-called Lavrentiev phenomenon. As consequence, at least two types of variational settings of Dirichlet problem are available. We prove results on the existence of solutions in both of these settings. Then we obtain several results on the convergence of certain types of approximate solutions to an exact solution.
Dosyalar
bib-2c0a12e5-67f6-4746-848e-26d78095c1f1.txt
Dosyalar
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