Abstract
Using the direct method of the calculus of variations, the Leray–Schauder alternative and the Krasnosel’skii-type fixed point theorem proved by R. Precup in [11], we prove existence and localization results for two Dirichlet problems involving Finsler–Laplacian operator.
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The first author was supported by Grant CNCS-UEFISCDI (Romania), project number PNII- ID-PCE-2011-3-0241.
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Mezei, II., Vas, O. Existence results for some Dirichlet problems involving Finsler–Laplacian operator. Acta Math. Hungar. 157, 39–53 (2019). https://doi.org/10.1007/s10474-018-0894-8
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DOI: https://doi.org/10.1007/s10474-018-0894-8
Key words and phrases
- variational method
- fixed point theory
- Leray–Schauder alternative
- Harnack inequality
- Krasnosel’skii theorem
- Finsler–Laplacian equation