Regularizing Effect of the Natural Growth Term in Quasilinear Problems with Sign-Changing Nonlinearities
Abstract
Abstract We investigate the existence and nonexistence of solutions to the Dirichlet problem where $$\Omega \subset \mathbb {R}^N$$ Ω ⊂ R N is a smooth bounded domain, $$p\in (1,\infty )$$ p ∈ ( 1 , ∞ ) , $$\lambda >0$$ λ > 0 and $$g\in C(\mathbb {R})$$ g ∈ C ( R ) . Our main assumption is that $$f:\mathbb {R}\rightarrow \mathbb {R}$$ f : R → R is a continuous function such that $$f(s)>0$$ f ( s ) > 0 for all $$s\in (\alpha ,\beta )$$ s ∈ ( α , β ) , where $$0
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Geometric Analysis and Curvature Flows
Optimization and Variational Analysis
Publication details
- Journal / source
- Mediterranean Journal of Mathematics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 23
- Issue
- 3
- Publication date
- 1 May 2026
- Language
- EN