| Volume 15, Number 1, 2025, Pages - DOI：10.11948/JAAC-2024-0147 |
| Existence results for a nonlinear elliptic problem driven by a non-homogeneous operator |
| John R. Graef,Shapour Heidarkhani,Lingju Kong,Shahin Moradi |
| Keywords:Nonlinear elliptic problem One weak solution Infinitely many solutions Variational methods. |
| Abstract: |
| In this paper, the authors discuss the existence of at least one weak solution and
infinitely many weak solutions to a parametric nonlinear Dirichlet problem involving a
nonhomogeneous differential operator of $p$-Laplacian type. Their approach is based on
variational methods. Some recent results are extended and
improved, and an example is presented to demonstrate the application of the main results. |
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