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On an obstacle problem for degenerate elliptic operators involving the critical Sobolev exponent

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We establish the existence of a solution to the variational inequality (the obstacle problem) (1.1) which involves the critical Sobolev exponent. This result is also extended to an obstacle problem with a lower order perturbation.

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Correspondence to J. Chabrowski.

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Dedicated to Professor F. Browder on the occasion of his 80-th birthday

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Chabrowski, J. On an obstacle problem for degenerate elliptic operators involving the critical Sobolev exponent. J. fixed point theory appl. 4, 137–150 (2008). https://doi.org/10.1007/s11784-007-0082-5

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  • DOI: https://doi.org/10.1007/s11784-007-0082-5

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