Opuscula Mathematica
Opuscula Math. 32, no. 4 (2012), 775-781

On the solvability of Dirichlet problem for the weighted p-Laplacian

Ewa Szlachtowska
Abstract. The paper investigates the existence and uniqueness of weak solutions for a non-linear boundary value problem involving the weighted \(p\)-Laplacian. Our approach is based on variational principles and representation properties of the associated spaces.
Keywords: \(p\)-Laplacian, weak solutions, solvability.
Mathematics Subject Classification: 35A15, 35J20, 35J60.
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Ewa Szlachtowska
AGH University of Science and Technology, Faculty of Applied Mathematics, al. A. Mickiewicza 30, 30-059 Krakow, Poland.
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Received: 2011-05-11.
Revised: 2012-03-19.
Accepted: 2012-03-20.
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Ewa Szlachtowska, On the solvability of Dirichlet problem for the weighted p-Laplacian, Opuscula Math. 32, no. 4 (2012), 775-781, http://dx.doi.org/10.7494/OpMath.2012.32.4.775.
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