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- W4385773286 abstract "Our purpose in this paper is to carry out a comprehensive investigation into the question of existence and non-existence of large solutions to semilinear elliptic equations with non-linear gradient terms in bounded domains of the Euclidean space. Based on new Keller-Osserman type integrability criteria, we provide necessary and sufficient conditions for the existence of large solutions. The novelty in our study rests on the fact that the Keller-Osserman type conditions we employ take both the growth rates of the gradient term as well as those of the first order non-linearity terms into account. When the gradient term does not appear, our criteria reduces to the well-known Keller-Osserman condition." @default.
- W4385773286 created "2023-08-12" @default.
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- W4385773286 date "2023-11-01" @default.
- W4385773286 modified "2023-10-14" @default.
- W4385773286 title "Necessary and sufficient conditions for the existence of large solutions to semilinear elliptic equations with gradient terms" @default.
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- W4385773286 doi "https://doi.org/10.1016/j.jde.2023.07.041" @default.
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