Please use this identifier to cite or link to this item: http://hdl.handle.net/2080/4637
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dc.contributor.authorPandey, Ambesh Kumar-
dc.contributor.authorKar, Rasmita-
dc.date.accessioned2024-08-07T04:49:47Z-
dc.date.available2024-08-07T04:49:47Z-
dc.date.issued2024-06-
dc.identifier.citationVIII Symposium on Nonlinear Analysis(SNA), 17-21 June 2024, Toruń, Polanden_US
dc.identifier.urihttp://hdl.handle.net/2080/4637-
dc.descriptionCopyright belongs to proceeding publisheren_US
dc.description.abstractIn recent years, there has been a growing interest in nonlinear singular elliptic PDEs. We study the existence of nonnegative solutions for the following quasilinear and singular elliptic problems with supercritical nonlinearity    − ∆pu − ∆qu = λ h(x) u γ + u θ , u > 0 in Ω, u = 0 on ∂Ω, (1) where Ω is an open, bounded subset of R N (N ≥ 3) with C 2 boundary, h is a positive real-valued function, 1 < p < q < ∞ and λ, θ, γ are positive parameters. Our motivation for this problem is taken from [1], where the authors considered the following problem ( − div (M(x)∇u) = λu−γ + u θ , u > 0 in Ω, u = 0 on ∂Ω. Our objective is to investigate problem (1), focusing on the impact of singular and supercritical nonlinearities on the right-hand side, alongside the nonhomogeneous operator. In particular, for supercritical cases, i.e., θ ≥ q ∗ −1, we prove the existence of solutions in a weak sense. To demonstrate the existence of a weak solution, we utilize the method of sub and supersolution.en_US
dc.subjectnonlinearitiesen_US
dc.subjectquasilinear problemsen_US
dc.titlePositive Solutions to Nonhomogeneous Quasilinear Problems with Singular and Supercritical Nonlinearitiesen_US
dc.typePresentationen_US
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