Boundedness of the extremal solution for some $p$-Laplacian problems

In: Mathematica Slovaca, vol. 64, no. 2

Long Wei

Detaily:

Rok, strany: 2014, 379 - 390

Kľúčové slová:

extremal solution, p-Laplacian, regularity

DOI: https://doi.org/10.2478/s12175-014-0211-0

O článku:

We investigate the regularity of extremal solutions to some $p$-Laplacian Dirichlet problems with strong nonlinearities. Under adequate assumptions we prove the smoothness of the extremal solutions for some classes of nonlinearities. Our results suggest that the extremal solution's boundedness for some range of dimensions depends on the nonlinearity $f$.

Ako citovať:

ISO 690:

Wei, L. 2014. Boundedness of the extremal solution for some $p$-Laplacian problems. In Mathematica Slovaca, vol. 64, no.2, pp. 379-390. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0211-0

APA:

Wei, L. (2014). Boundedness of the extremal solution for some $p$-Laplacian problems. Mathematica Slovaca, 64(2), 379-390. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0211-0

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