Existence and uniqueness for a semilinear elliptic problem on Lipschitz domains in Riemannian manifolds II

Dindoš, Martin

doi:10.1090/S0002-9947-02-03210-5

Existence and uniqueness for a semilinear elliptic problem on Lipschitz domains in Riemannian manifolds II

Author: Martin Dindos
Journal: Trans. Amer. Math. Soc. 355 (2003), 1365-1399
MSC (2000): Primary 35J65, 35B65; Secondary 46E35, 42B20
DOI: https://doi.org/10.1090/S0002-9947-02-03210-5
Published electronically: December 2, 2002
MathSciNet review: 1946396
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Abstract: Extending our recent work for the semilinear elliptic equation on Lipschitz domains, we study a general second-order Dirichlet problem in $\Omega$ . We improve our previous results by studying more general nonlinear terms with polynomial (and in some cases exponential) growth in the variable . We also study the case of nonnegative solutions.

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