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We study the existence of nonnegative solutions of elliptic equations involving concave and critical Sobolev nonlinearities. Applying various variational principles we obtain the existence of at least two nonnegative solutions.
J. Chabrowski, and P. Drábek. "On positive solutions of nonlinear elliptic equations involving concave and critical nonlinearities." Studia Mathematica 151.1 (2002): 67-85. <http://eudml.org/doc/284959>.
@article{J2002, abstract = {We study the existence of nonnegative solutions of elliptic equations involving concave and critical Sobolev nonlinearities. Applying various variational principles we obtain the existence of at least two nonnegative solutions.}, author = {J. Chabrowski, P. Drábek}, journal = {Studia Mathematica}, keywords = {critical Sobolev exponent; mountain-pass principle; local minimization; concentration-compactness principle}, language = {eng}, number = {1}, pages = {67-85}, title = {On positive solutions of nonlinear elliptic equations involving concave and critical nonlinearities}, url = {http://eudml.org/doc/284959}, volume = {151}, year = {2002}, }
TY - JOUR AU - J. Chabrowski AU - P. Drábek TI - On positive solutions of nonlinear elliptic equations involving concave and critical nonlinearities JO - Studia Mathematica PY - 2002 VL - 151 IS - 1 SP - 67 EP - 85 AB - We study the existence of nonnegative solutions of elliptic equations involving concave and critical Sobolev nonlinearities. Applying various variational principles we obtain the existence of at least two nonnegative solutions. LA - eng KW - critical Sobolev exponent; mountain-pass principle; local minimization; concentration-compactness principle UR - http://eudml.org/doc/284959 ER -