Anisotropie semipositone quasilinear problems

作者：Agudelo Oscar^*; Drabek Pavel

来源：Journal of Mathematical Analysis and Applications, 2017, 452(2): 1145-1167.

DOI：10.1016/j.jmaa.2017.03.062

• Weighted p-Laplacian
• Quasilinear eigenvalue problems
• Semipositone condition
• Sub- and supersolutions
• Weighted Sobolev spaces

We present the existence of positive solutions for a degenerate (or singular) quasilinear equation in a ball or in the entire space RN. As differential operator we consider a weighted p-Laplacian with a continuous coefficient satisfying a mild integrability condition towards the boundary of the ball or at infinity in RN. Our main result applies when the nonlinearities f (u) have (p - 1)-sublinear growth at infinity and singular semipositone structure at the origin.

• 出版日期2017-8-15