In this work we obtain some existence results for a class of elliptic Dirichlet problems involving the critical Sobolev exponent and containing a parameter. Through a weak lower semicontinuity result and by using a critical point theorem for differentiable functionals, the existence of a precise open interval of positive eigenvalues for which the treated problems admit at least one non-trivial weak solution is established. The attained results represent a more precise version of some contributions on the treated subject. © Springer Science+Business Media New York 2013.
CITATION STYLE
Bonanno, G., Bisci, G. M., & Rǎdulescu, V. (2013). A Note on Elliptic Equations Involving the Critical Sobolev Exponent. In Springer Proceedings in Mathematics and Statistics (Vol. 47, pp. 311–319). Springer New York LLC. https://doi.org/10.1007/978-1-4614-7333-6_24
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