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AbstractWe prove an existence principle that would apply for elliptic problems with nonlinearity separating into a difference of derivatives of two convex functions in the case when the growth conditions are imposed only on the minuend term. We present abstract result and its application. We modify the so called dual variational method.doi:10.2478/s12175-010-0017-7 fatcat:w3azo2ahyzdn5kwdatml3ctf5u