Eigenvalue problem for a degenerate elliptic operator

1986 ◽  
Vol 26 (1) ◽  
pp. 73-74
Author(s):  
V. Stukaitė
2017 ◽  
Vol 54 (4) ◽  
pp. 536-549 ◽  
Author(s):  
Jianhua Chen ◽  
Xianhua Tang ◽  
Zu Gao

In this paper, we prove the existence of infinitely many solutions for the following class of boundary value elliptic problems where Ω is a bounded domain in RN (N ≥ 2), Δλ is a strongly degenerate elliptic operator, V (x) is allowing to be sign-changing and f is a function with a more general super-quadratic growth, which is weaker than the Ambrosetti-Rabinowitz type condition.


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