Geodesic
On the critical Neumann problem with lower order perturbations
Jan Chabrowski 1   ; Bernhard Ruf 2
1 Department of Mathematics University of Queensland St. Lucia 4072, Qld, Australia
2 Dipartimento di Matematica “F. Enriques” Universitàdegli Studi di Milano Via Saldini 50 20133 Milano, Italy
Colloquium Mathematicum, Tome 108 (2007) no. 2, pp. 225-246 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 perturbation of a lower order is allowed to interfere with the spectrum of the operator $-{\mit\Delta} $ with the Neumann boundary conditions.
DOI : 10.4064/cm108-2-6
Keywords: investigate solvability neumann problem involving critical sobolev exponent lower order perturbations bounded domains solutions obtained min max methods based topological linking nonlinear perturbation lower order allowed interfere spectrum operator mit delta neumann boundary conditions

Jan Chabrowski  1   ; Bernhard Ruf  2

1 Department of Mathematics University of Queensland St. Lucia 4072, Qld, Australia
2 Dipartimento di Matematica “F. Enriques” Universitàdegli Studi di Milano Via Saldini 50 20133 Milano, Italy 
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Jan Chabrowski; Bernhard Ruf. On the critical Neumann problem
 with lower order perturbations. Colloquium Mathematicum, Tome 108 (2007) no. 2, pp. 225-246. doi: 10.4064/cm108-2-6

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