Multiplicity Results for Fully Nonlinear Elliptic Equations With Natural Gradient Growth
ABSTRACT In this paper, we prove a theorem concerning the existence of three solutions for a fully nonlinear boundary value problem involving the Pucci maximal operator and a natural gradient growth term. Specifically, we consider the Dirichlet problem .
Authors
- Ram Baran Verma (ORCID: https://orcid.org/0009-0000-7924-5542)
- Mohan Mallick (ORCID: https://orcid.org/0000-0003-4668-2185)
Institutions
- Visvesvaraya National Institute of Technology (IN)
- SRM University (IN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-05-20
- DOI
- https://doi.org/10.1002/mma.11075
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00