Results 31 to 40 of about 195 (91)
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
Infinitely many weak solutions for a fourth-order equation with nonlinear boundary conditions
Miskolc Mathematical Notes, 2019 Existence results of infinitely many solutions for a fourth-order differential equation are established. This equation depends on two real parameters. The approach is based on an infinitely many critical points theorem.
M. R. H. Tavani, M. Khodabakhshi
semanticscholar +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
Ground states and multiple solutions for Hamiltonian elliptic system with gradient term
Advances in Nonlinear Analysis, 2020 This paper is concerned with the following nonlinear Hamiltonian elliptic system with gradient ...
Zhang Wen, Zhang Jian, Mi Heilong
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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
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
Anisotropic problems with unbalanced growth
Advances in Nonlinear Analysis, 2020 The main purpose of this paper is to study a general class of (p, q)-type eigenvalues problems with lack of compactness. The reaction is a convex-concave nonlinearity described by power-type terms.
Alsaedi Ahmed, Ahmad Bashir
doaj +1 more source
On skew loops, skew branes and quadratic hypersurfaces [PDF]
, 2003 A skew brane is an immersed codimension 2 submanifold in affine space, free from pairs of parallel tangent spaces. Using Morse theory, we prove that a skew brane cannot lie on a quadratic hypersurface.
S. Tabachnikov
semanticscholar +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