Opuscula Mathematica
Opuscula Math. 32, no. 4 (), 775-781
http://dx.doi.org/10.7494/OpMath.2012.32.4.775
Opuscula Mathematica

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


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.
Cite this article as:
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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ISSN 1232−9274, e-ISSN 2300−6919, DOI http://dx.doi.org/10.7494/OpMath
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