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- W2068759997 abstract "In this paper, we discuss positive solutions for certain weighted elliptic equations with critical Sobolev exponent in R N . The weights depend on a positive parameter γ , which is allowed to increase to infinity. While for small values of γ solutions are completely classified, an attempt to such a classification is much more difficult for large values of the parameter. In the present work we prove the nonexistence of solutions with bounded energy as γ increases to infinity. We also prove a multiplicity result for high energy solutions." @default.
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- W2068759997 date "2005-08-01" @default.
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- W2068759997 title "Nonexistence of bounded energy solutions for a critical exponent problem" @default.
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- W2068759997 doi "https://doi.org/10.1016/j.jde.2004.12.002" @default.
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