Existence of solutions of degenerate semilinear elliptic boundary value problems
Raj Narayan Dhara
TL;DR
This paper proves the existence of weak solutions for degenerate and/or singular semilinear elliptic boundary value problems, providing a framework for establishing large solutions under certain conditions.
Contribution
It introduces a method to demonstrate the existence of solutions between sub- and supersolutions for complex degenerate or singular elliptic problems.
Findings
Existence of weak solutions established
Applicable to large solutions of similar problems
Framework for degenerate and singular cases
Abstract
We show an existence of a weak solution of a degenerate and/or singular semilinear elliptic boundary value (nonhomogeneous) problem lying between a given weak subsolution and a given weak supersolution. It has been applied for an existence result of large solution to a similar problem.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Differential Equations and Boundary Problems · Nonlinear Partial Differential Equations