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On the nonlinear perturbations of self-adjoint operators
- Source :
- Advances in Nonlinear Analysis, Vol 11, Iss 1, Pp 1117-1133 (2022)
- Publication Year :
- 2022
- Publisher :
- De Gruyter, 2022.
-
Abstract
- Using elements of the theory of linear operators in Hilbert spaces and monotonicity tools we obtain the existence and uniqueness results for a wide class of nonlinear problems driven by the equation Tx=N(x)Tx=N\left(x), where TT is a self-adjoint operator in a real Hilbert space ℋ{\mathcal{ {\mathcal H} }} and NN is a nonlinear perturbation. Both potential and nonpotential perturbations are considered. This approach is an extension of the results known for elliptic operators.
Details
- Language :
- English
- ISSN :
- 2191950X and 20220235
- Volume :
- 11
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Advances in Nonlinear Analysis
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.88987f0428eb4b8b812e6b70251d9285
- Document Type :
- article
- Full Text :
- https://doi.org/10.1515/anona-2022-0235