Multivalued problem with Robin boundary condition involving diffuse measure data and variable exponent

作者：Ouaro Stanislas^*; Ouedraogo Arouna; Soma Safimba

来源：Advances in Nonlinear Analysis, 2014, 3(4): 209-235.

DOI：10.1515/anona-2014-0010

• Robin boundary condition
• diffuse measure
• Biting Lemma of Chacon
• maximal monotone graph
• Radon measure data
• weak solution
• entropic solution
• Leray-Lions operator
• subdifferential operator

We study a nonlinear elliptic problem with Robin type boundary condition, governed by a general Leray-Lions operator with variable exponents and diffuse Radon measure data which does not charge the sets of zero p(.)-capacity. We prove an existence and uniqueness result of a weak solution.

• 出版日期2014-11