do O, Joao Marcos2018-11-042018-11-041997-07-15Marcos, J. B. (1997). Solutions to perturbed eigenvalue problems of the p-Laplacian in R(N). <i>Electronic Journal of Differential Equations, 1997</i>(11), pp. 1-15.1072-6691https://hdl.handle.net/10877/7767Using a variational approach, we investigate the existence of solutions for non-autonomous perturbations of the p-Laplacian eigenvalue problem -Δpu = ƒ(x, u) in ℝN. Under the assumptions that the primitive F(x, u) of ƒ(x, u) interacts only with the first eigenvalue, we look for solutions in the space D1,p (ℝN). Furthermore, we assume a condition that measures how different the behavior of the function F(x, u) is from that of the p-power of u.Text15 pages1 file (.pdf)enAttribution 4.0 InternationalMountain Pass TheoremPalais-Smale ConditionFirst eigenvalueArticle