Opuscula Mathematica
Opuscula Math. 45, no. 5 (2025), 647-655

A general elliptic equation with intrinsic operator

Dumitru Motreanu
Abstract. Existence and bound of a solution is established for a general elliptic equation with intrinsic operator subject to Dirichlet boundary condition. This provides a sufficient condition to the fundamental question if there is a solution belonging to a prescribed ball in the function space. An application deals with an equation involving a convolution product.
Keywords: nonlinear elliptic equation, intrinsic operator, convolution.
Mathematics Subject Classification: 35J92, 47F10.
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References ▼
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About the authors ▼
Dumitru Motreanu
https://orcid.org/0000-0001-7391-9534
University of Perpignan, Department of Mathematics, 66860 Perpignan, France
About the article ▼
Communicated by Marek Galewski.
Received: 2025-07-13.
Revised: 2025-08-25.
Accepted: 2025-08-26.
Published online: 2025-09-13.
Cite this article as ▼
Dumitru Motreanu, A general elliptic equation with intrinsic operator, Opuscula Math. 45, no. 5 (2025), 647-655, https://doi.org/10.7494/OpMath.2025.45.5.647.
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