Abstract
The existence of a nontrivial solution in some ‘weaker’ sense of the system of equations:
is proved. Here,
,
,
, l, w are bounded, nonnegative real-valued functions in Ω, μ is a nonnegative Radon measure and k>1 belongs to a certain range.
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Acknowledgments
A.S. and D.C. also acknowledge the facilities received from the Department of Mathematics, National Institute of Technology Rourkela. S.D. thanks the Department of physics and astronomy, National Institute of Technology Rourkela. All the authors thanks the anonymous referee(s) for their constructive comments.
Disclosure statement
No potential conflict of interest was reported by the author(s).