Abstract
We prove the existence of a positive solution of the following problem −Δu=f(r,u) inD u>0u=0, on ∂D whereD is the unit disc in ℝ2 andf is a superlinear function with critical growth.
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Adimurthi Positive solutions of the semilinear Dirichlet problem with critical growth in the unit disc in ℝ2 . Proc. Indian Acad. Sci. (Math. Sci.) 99, 49–73 (1989). https://doi.org/10.1007/BF02874647
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DOI: https://doi.org/10.1007/BF02874647