Published January 1, 2018 | Version v1
Journal article Open

Multivalued elliptic operators with nonstandard growth

  • 1. Batman Univ, Fac Econ & Adm Sci, Batman, Turkey
  • 2. Morgan State Univ, Math Dept, Baltimore, MD 21239 USA

Description

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.

Files

bib-2c0a12e5-67f6-4746-848e-26d78095c1f1.txt

Files (130 Bytes)

Name Size Download all
md5:0fcb651016fdf0f51b90294c3a1b9615
130 Bytes Preview Download