Please use this identifier to cite or link to this item:
http://hdl.handle.net/2080/4626
Title: | A Study of The Weighted (p,q)-Laplace Equation |
Authors: | Kumari, Rupali Kar, Rasmita |
Keywords: | Singular nonlinearity p,q-Laplace equation Variational method. |
Issue Date: | Jul-2024 |
Citation: | 2nd International Conference on Recent Advances in Applied Mathematics(RAAM), IIT BHU, 3-5 July 2024 |
Abstract: | We prove the existence of solutions for the nonlinear partial differential equation -div(ω|∇v|^((p-2) ) ∇v)-div(ω|∇v|^((q-2) ) ∇v)= f_λ (v), v>0 in Ω v=0 on ∂Ω, where, Ω⊆R^n is a smooth bounded domain, n≥3,λ>0,1<q<p<∞ and ω belongs to the Muckenhoupt class. When f_λ=λg(v)v^(-ρ), we use variational method to show the existence of a solution. When f_λ (v)=λv^(-ρ)+v^r, existence of atleast two solutions have been proved using the method of approximation. |
Description: | Copyright belongs to proceeding publisher |
URI: | http://hdl.handle.net/2080/4626 |
Appears in Collections: | Conference Papers |
Files in This Item:
File | Description | Size | Format | |
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2024_RAAM_RKumari_AStudy.pdf | Presentation | 685.45 kB | Adobe PDF | View/Open Request a copy |
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