National Institute of Technology Rourkela

राष्ट्रीय प्रौद्योगिकी संस्थान राउरकेला

ଜାତୀୟ ପ୍ରଯୁକ୍ତି ପ୍ରତିଷ୍ଠାନ ରାଉରକେଲା

An Institute of National Importance

Seminar Details

Seminar Title:
Positive solutions to nonhomogeneous quasilinear problems with singular and supercritical nonlinearities.
Seminar Type:
Departmental Seminar
Department:
Mathematics
Speaker Name:
Ambesh Kumar Pandey
Speaker Type:
Student
Venue:
Seminar Hall, Departement of Mathematics
Date and Time:
04 Jul 2024 11.00 AM
Contact:
Ambesh Kumar Pandey
Abstract:
In recent years, there has been a growing interest in nonlinear singular elliptic PDEs. We study the existence of positive solutions for quasilinear and singular elliptic problems involving supercritical nonlinearity. Our objective is to prove the existence of positive solutions, focusing on the impact of singular and supercritical nonlinearities on the right-hand side alongside the nonhomogeneous operator. Specifically, for supercritical cases, 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.