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Strongly nonlinear degenerate elliptic equations with discontinuous coefficients. II

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Abstract

We use energy methods to prove the existence and uniqueness of solutions of the Dirichlet problem for an elliptic nonlinear second-order equation of divergence form with a superlinear tem [i.e., g(x, u)=v(x) a(x)⋎u⋎ p−1u,p>1] in unbounded domains. Degeneracy in the ellipticity condition is allowed. Coefficients a i,j(x,r) may be discontinuous with respect to the variable r.

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Authors
  1. S. Bonafede
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Additional information

University of Catania, Italy. Published in Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 12, pp. 1601–1609, December, 1997.

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Bonafede, S. Strongly nonlinear degenerate elliptic equations with discontinuous coefficients. II. Ukr Math J 49, 1798–1809 (1997). https://doi.org/10.1007/BF02513059

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  • DOI: https://doi.org/10.1007/BF02513059

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