In this paper we investigate the solvability of the Neumann problem (1.1) involving a critical Sobolev exponent and lower order perturbations in bounded domains. Solutions are obtained by min max methods based on a topological linking. A nonlinear perturbations of a lower order is allowed to interfere with the spectrum of the Laplace operator with the Neumann boundary conditions.
On the critical Neumann problem with lower order perturbations / J. Chabrowski, B. Ruf. - In: COLLOQUIUM MATHEMATICUM. - ISSN 0010-1354. - 108:2(2007), pp. 225-246. [10.4064/cm108-2-6]
On the critical Neumann problem with lower order perturbations
B. RufUltimo
2007
Abstract
In this paper we investigate the solvability of the Neumann problem (1.1) involving a critical Sobolev exponent and lower order perturbations in bounded domains. Solutions are obtained by min max methods based on a topological linking. A nonlinear perturbations of a lower order is allowed to interfere with the spectrum of the Laplace operator with the Neumann boundary conditions.
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