Multivalued elliptic operators with nonstandard growth

Mustafa Avci, Alexander Pankov

Research output: Contribution to journalJournal Articlepeer-review

20 Citations (Scopus)


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 ) 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.

Original languageEnglish
Pages (from-to)35-48
Number of pages14
JournalAdvances in Nonlinear Analysis
Issue number1
Publication statusPublished - 1 Feb. 2018


  • Nonstandard growth condition
  • monotone elliptic equation
  • multivalued monotone operator


Dive into the research topics of 'Multivalued elliptic operators with nonstandard growth'. Together they form a unique fingerprint.

Cite this