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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 -Δ with the Neumann boundary conditions.
Jan Chabrowski, and Bernhard Ruf. "On the critical Neumann problem with lower order perturbations." Colloquium Mathematicae 108.2 (2007): 225-246. <http://eudml.org/doc/284220>.
@article{JanChabrowski2007, abstract = {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 -Δ with the Neumann boundary conditions.}, author = {Jan Chabrowski, Bernhard Ruf}, journal = {Colloquium Mathematicae}, keywords = {Neumann problem; critical Sobolev exponent; topological linking}, language = {eng}, number = {2}, pages = {225-246}, title = {On the critical Neumann problem with lower order perturbations}, url = {http://eudml.org/doc/284220}, volume = {108}, year = {2007}, }
TY - JOUR AU - Jan Chabrowski AU - Bernhard Ruf TI - On the critical Neumann problem with lower order perturbations JO - Colloquium Mathematicae PY - 2007 VL - 108 IS - 2 SP - 225 EP - 246 AB - 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 -Δ with the Neumann boundary conditions. LA - eng KW - Neumann problem; critical Sobolev exponent; topological linking UR - http://eudml.org/doc/284220 ER -