Abstract
In this paper, we study the existence of solutions for equations driven by a new subcritical Musielak-Orlicz-Sobolev growth with homogeneous Dirichlet boundary conditions. These equations have a variational structure and we find a non-trivial solution for them using the Mountain Pass Theorem.
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Benyaiche, A., Khlifi, I. Mountain pass solutions to equations with subcritical Musielak-Orlicz-Sobolev growth. Rend. Circ. Mat. Palermo, II. Ser 72, 2333–2348 (2023). https://doi.org/10.1007/s12215-022-00804-0
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DOI: https://doi.org/10.1007/s12215-022-00804-0
Keywords
- Musielak-Orlicz-Sobolev spaces
- Generalized \(\Phi \)-function
- Subcritical Musielak-Orlicz-Sobolev
- Mountain pass solutions