In this paper we prove existence of nontrivial solutions for the quasi-linear elliptic problem {div((I + epsilonA(x, u))delu) + u + epsilonH(x, u,delu) = \u\(p-1), in R-N, u is an element of H-1(R-N) boolean AND W-2,W-q (R-N), q > N where 1 < p < (N + 2)/(N - 2), N > 2 and the operator -div((I + epsilonA(x, u))delu) +epsilonH(x, u, delu) is a perturbation of the Laplacian. We use a perturbation method recently developed in [1], [2], [3] and we get results both in the variational and in the non-variational framework.

Quasi--Linear equations on R^N: Perturbation Results

PELLACCI, Benedetta
2003

Abstract

In this paper we prove existence of nontrivial solutions for the quasi-linear elliptic problem {div((I + epsilonA(x, u))delu) + u + epsilonH(x, u,delu) = \u\(p-1), in R-N, u is an element of H-1(R-N) boolean AND W-2,W-q (R-N), q > N where 1 < p < (N + 2)/(N - 2), N > 2 and the operator -div((I + epsilonA(x, u))delu) +epsilonH(x, u, delu) is a perturbation of the Laplacian. We use a perturbation method recently developed in [1], [2], [3] and we get results both in the variational and in the non-variational framework.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11367/20148
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