Quasilinear equations with degenerate coerciveness and having multiple singularities

Abstract

In this paper, an approximation approach is used to study existence of distributional solutions for degenerate quasilinear elliptic problems having multiple singularities in the whole space.

Keywords:

• multiple singularities
• degenerate coerciveness
• approximation
• a priori estimates

AMS Subject Classifications:

• 35D30
• 35J62
• 35J70
• 35J75

Acknowledgments

The author is very grateful to the referees for their careful reading of the manuscript and their insightful and constructive remarks and comments and their useful suggestions that helped to clarify and enrich the content and improve the presentation of the results in this paper.