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 SizeFormat 
2024_RAAM_RKumari_AStudy.pdfPresentation685.45 kBAdobe PDFView/Open    Request a copy


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.