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• W3197870848 abstract "We consider the existence of positive solutions to weighted quasilinear elliptic differential equations of the type $$begin{aligned} {left{ begin{array}{ll} - Delta _{p, w} u = sigma u^{q} &{} text {in }Omega , u = 0 &{} text {on }partial Omega end{array}right. } end{aligned}$$ in the sub-natural growth case $$0< q < p - 1$$ , where $$Omega $$ is a bounded domain in $${mathbb {R}}^{n}$$ , $$Delta _{p, w}$$ is a weighted p-Laplacian, and $$sigma $$ is a nonnegative (locally finite) Radon measure on $$Omega $$ . We give criteria for the existence problem. For the proof, we investigate various properties of p-superharmonic functions, especially the solvability of Dirichlet problems with infinite measure data." @default.
• W3197870848 created "2021-09-13" @default.
• W3197870848 creator A5014655033 @default.
• W3197870848 date "2021-09-07" @default.
• W3197870848 modified "2023-10-12" @default.
• W3197870848 title "Quasilinear elliptic equations with sub-natural growth terms in bounded domains" @default.
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• W3197870848 doi "https://doi.org/10.1007/s00030-021-00724-5" @default.
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