Abstract
A system embracing the anisotropic \(\left( \overrightarrow{p}(\cdot ), \overrightarrow{q}(\cdot )\right) \)-Laplacian operators is studied. We prove the existence and multiplicity of positive weak solutions for the system, via the critical point theory.
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Razani, A., Safari, F. & Soltani, T. Weak Solutions for a System Involving Anisotropic \(\left( \overrightarrow{p}(\cdot ), \overrightarrow{q}(\cdot )\right) \)-Laplacian Operators. Iran J Sci (2024). https://doi.org/10.1007/s40995-024-01627-7
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DOI: https://doi.org/10.1007/s40995-024-01627-7
Keywords
- Anisotropic \(p(\cdot )\)-Laplacian operator
- Neumann elliptic system
- Variational methods
- Variable exponents