Results 21 to 30 of about 515 (89)
Abstract and Applied Analysis, Volume 3, Issue 1-2, Page 181-189, 1998., 1998 We generalize the notion of local linking to include certain cases where the functional does not have a local splitting near the origin. Applications to second‐order Hamiltonian systems are given.
Kanishka Perera
wiley +1 more source
Eigencurves of the p(·)-Biharmonic operator with a Hardy-type term
Moroccan Journal of Pure and Applied Analysis, 2020 This paper is devoted to the study of the homogeneous Dirichlet problem for a singular nonlinear equation which involves the p(·)-biharmonic operator and a Hardy-type term that depend on the solution and with a parameter λ.
Laghzal Mohamed +3 more
doaj +1 more source
Bifurcation of Solutions to the Allen-Cahn Equation [PDF]
, 2013 We use Morse Homology to study bifurcation of the solution sets of the Allen-Cahn Equation.
arxiv +1 more source
Multiple nontrivial solutions of superlinear fractional Laplace equations without (AR) condition
Advances in Nonlinear Analysis, 2023 In this article, we study a class of nonlinear fractional Laplace problems with a parameter and superlinear nonlinearity (−Δ)su=λu+f(x,u),inΩ,u=0,inRN\Ω.\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{ll}{\left(-\Delta )}^{s}u=\lambda u+f\left(x,u ...
Zhao Leiga, Cai Hongrui, Chen Yutong
doaj +1 more source
Critical groups of critical points produced by local linking with applications
Abstract and Applied Analysis, Volume 3, Issue 3-4, Page 437-446, 1998., 1998 We prove the existence of nontrivial critical points with nontrivial critical groups for functionals with a local linking at 0. Applications to elliptic boundary value problems are given.
Kanishka Perera
wiley +1 more source
The generalized Conley index and multiple solutions of semilinear elliptic problems
Abstract and Applied Analysis, Volume 1, Issue 1, Page 103-135, 1996., 1996 We establish some framework so that the generalized Conley index can be easily used to study the multiple solution problem of semilinear elliptic boundary value problems. Both the parabolic flow and the gradient flow are used. Some examples are given to compare our approach here with other well‐known methods.
E. N. Dancer, Yihong Du
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 4, Page 813-816, 1990., 1990 A simple proof of a theorem of H. Hopf [1], via Morse theory, is given.
Takis Sakkalis
wiley +1 more source
The β-Flatness Condition in CR Spheres
Advanced Nonlinear Studies, 2017 This work is an adaptation of one of the methods based on the variational critical points at infinity theory of Abbas Bahri [1, 3, 2, 4, 5, 6, 7, 8] to the Cauchy–Riemann settings.
Gamara Najoua, Hafassa Boutheina
doaj +1 more source
Advances in Nonlinear Analysis, 2020 In this paper, we study the singularly perturbed fractional Choquard ...
Yang Zhipeng, Zhao Fukun
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, 2001 Abstract and Applied Analysis, Volume 6, Issue 2, Page 71-99, 2001.
E. N. Dancer, Kee Y. Lam, Shusen Yan
wiley +1 more source