### A W 2, 2 Bound for a Class of Elliptic Equations in Nondivergence Form with Rough Coefficients.

Giuseppe Chiti (1976)

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Giuseppe Chiti (1976)

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Peter Tolksdorf (1983)

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Rajiv Gupta (1985)

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L. Lieb, R.M. Range (1986)

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Liliana Klimczak (2015)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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We consider a nonlinear Neumann problem with a nonhomogeneous elliptic differential operator. With some natural conditions for its structure and some general assumptions on the growth of the reaction term we prove that the problem has two nontrivial solutions of constant sign. In the proof we use variational methods with truncation and minimization techniques.

Neil S. Trudinger (1981)

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D.W. Masser, G. Wüstholz (1990)

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Peter Hess, Stefan Senn (1981)

Mathematische Annalen

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Allen E. Hatcher (1973)

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