This 2003 book presents min-max methods through a study of the different faces of the celebrated Mountain Pass Theorem (MPT) of Ambrosetti and Rabinowitz. The reader is led …
DG De Figueiredo, DG De Figueiredo… - Djairo G. de Figueiredo …, 2013 - Springer
In this paper the usual notions of superlinearity and sublinearity for semilinear problems like _Du ¼ f ðx; uÞ are given a local form and extended to indefinite nonlinearities. Here f ðx; sÞ …
S Li, ZQ Wang - Transactions of the American Mathematical Society, 2002 - ams.org
We present several variants of Ljusternik-Schnirelman type theorems in partially ordered Hilbert spaces, which assert the locations of the critical points constructed by the minimax …
DG Costa, H Tehrani - Calculus of Variations and Partial Differential …, 2001 - Springer
Existence of positive solutions for a class of indefinite elliptic problems in RN Page 1 Digital Object Identifier (DOI) 10.1007/s005260000070 Calc. Var. 13, 159–189 (2001) Existence of …
W Zou, S Li - Journal of Differential Equations, 2002 - Elsevier
We consider two classes of the second-order Hamiltonian systems with symmetry. If the systems are asymptotically linear with resonance, we obtain infinitely many small-energy …
In this work, we will study the existence of solutions for a class of problems involving the p- Laplacian operator with weight and a nonlinearity that changes sign in a domain Ω⊂ RN …
D Papini, F Zanolin - Advanced Nonlinear Studies, 2004 - degruyter.com
We present some results which show the rich and complicated structure of the solutions of the second order differential equation ẍ+ w (t) g (x)= 0 when the weight w (t) changes sign …
S Li, ZQ Wang - Journal d'Analyse Mathématique, 2000 - Springer
In this paper, we prove a mountain pass theorem in order intervals in which the position of the mountain pass point is given precisely in terms of the order structure. By using this result …