Geodesic
Some inequalities for Sobolev integrals
Electronic journal of differential equations, Tome 2009 (2009)
We present some inequalities for Sobolev integrals for functions of one variable which are generalization of Dirichlet principle for harmonic functions.
Classification : 26D10, 34A40
Keywords: Sobolev integrals, Dirichlet principle, divided differences, Hermite polynomials 
@article{EJDE_2009__2009__a20,
     author = {Dimitrov,  Nikolaj and Tersian,  Stepan},
     title = {Some inequalities for {Sobolev} integrals},
     journal = {Electronic journal of differential equations},
     year = {2009},
     volume = {2009},
     zbl = {1175.26028},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a20/}
}
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Dimitrov,  Nikolaj; Tersian,  Stepan. Some inequalities for Sobolev integrals. Electronic journal of differential equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a20/