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Solution for nonvariational fractional elliptic system with concave and convex nonlinearities.
- Source :
-
Zeitschrift für Angewandte Mathematik und Physik (ZAMP) . Aug2024, Vol. 75 Issue 4, p1-16. 16p. - Publication Year :
- 2024
-
Abstract
- In this paper, we obtain the existence of a positive solution for a class of nonvariational fractional elliptic system with concave and convex nonlinearities in two cases. The paper is divided in two parts: In the first one, for general nonlinearity with subcritical or critical growth, we use Galerkin's method and an approximation argument to show the existence of a solution for the system considered. In the second part, for special cases (which include the power case), we remove the restriction on the growth of the nonlinearity and use sub-supersolution, monotone iteration and a comparison argument to obtain a solution for the system considered. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GALERKIN methods
*LAPLACIAN operator
Subjects
Details
- Language :
- English
- ISSN :
- 00442275
- Volume :
- 75
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
- Publication Type :
- Academic Journal
- Accession number :
- 178594031
- Full Text :
- https://doi.org/10.1007/s00033-024-02269-w