Least energy solutions of a critical Neumann problem with a weight

Chabrowski, J;Willem, Michel
(2002) Calculus of Variations and Partial Differential Equations — Vol. 15, n° 4, p. 421-431 (2002)

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Authors
  • Chabrowski, J
    Author
  • Willem, MichelUCLouvain
    Author
Abstract
We investigate the effect of the coefficient of the critical nonlinearity for the Neumann problem on the existence of least energy solutions. As a by-product we establish a Sobolev inequality with interior norm.
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Chabrowski, J., & Willem, M. (2002). Least energy solutions of a critical Neumann problem with a weight. Calculus of Variations and Partial Differential Equations, 15(4), 421-431. https://doi.org/10.1007/s00526-002-0101-0 (Original work published 2002)