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Applications of Equilibrium Problems to a Class of Noncoercive Variational Inequalities

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Abstract

In this paper, we are interested in the existence of solutions for a class of noncoercive variational inequalities involving a p-Laplacian type operator. Our approach is based essentially on equilibrium problems and arguments from recession analysis. Our results are of two types: the first is obtained in a monotone framework; the second is obtained without a monotonicity assumption.

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Correspondence to J. C. Yao.

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The first and the third authors were partially supported by the National Science Council of the Republic of China. The second author was partially supported by NSF, Hunan Province, Grant 04JJY20001. The authors express their sincere thanks to two anonymous referees for careful reading and comments leading to the present version of this paper.

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Chadli, O., Liu, Z. & Yao, J.C. Applications of Equilibrium Problems to a Class of Noncoercive Variational Inequalities. J Optim Theory Appl 132, 89–110 (2007). https://doi.org/10.1007/s10957-006-9072-1

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  • DOI: https://doi.org/10.1007/s10957-006-9072-1

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