Bifurcation problem for the superlinear elliptic operator
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초록
We investigate the number of solutions for the superlinear elliptic bifurcation problem with Dirichlet boundary condition. We get a theorem which shows the existence of at least k weak solutions for the superlinear elliptic bifurcation problem with boundary value condition. We obtain this result by using the critical point theory induced from invariant linear subspace and the invariant functional.
Abstract
We investigate the number of solutions for the superlinear elliptic bifurcation problem with Dirichlet boundary condition. We get a theorem which shows the existence of at least k weak solutions for the superlinear elliptic bifurcation problem with boundary value condition. We obtain this result by using the critical point theory induced from invariant linear subspace and the invariant functional.
참고문헌 (3)
- K.C. Chang, "Infinite dimensional Morse theory and multiple solution problems" (1993), Birkhauser
- 정택선, "Multiple solutions result for the mixed type nonlinear elliptic problem", 한국수학논문집, 19(4), pp.423~436 (2011), 강원경기수학회
- P.H. Rabinowitz, "Minimax methods in critical point theory with applications to differential equations", CBMS Reg. Conf. Ser. Math. 65, Amer. Math. Soc (1986)