Results 51 to 60 of about 685 (102)

Infinitely many homoclinic orbits for a class of discrete Hamiltonian systems

, 2013
In the present paper, we deal with the existence of infinitely many homoclinic solutions for the second-order self-adjoint discrete Hamiltonian system △[p(n)△u(n−1)]−L(n)u(n)+∇W(n,u(n))=0, where p(n) and L(n) are N×N real symmetric matrices for all n∈Z,
Xianhua Tang, J. Chen
semanticscholar   +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

On the stability of standing waves of Klein-Gordon equations in a semiclassical regime

, 2012
We investigate the orbital stability and instability of standing waves for two classes of Klein-Gordon equations in the semi-classical regime.Comment: 9 ...
______, ______, ______, ______, A. Ambrosetti, A. Ambrosetti, A. Azzollini, C. A. Stuart, C. D. Sogge, D. M. A. Stuart, E. Deumens, E. Long, F. A. Berezin, G. Vaira, H. Berestycki, I. Ianni, J. Shatah, J. Shatah, L. Aloui, L. Jeanjean, M. Beals, M. Grillakis, M. I. Weinstein, M. I. Weinstein, M. Keel, M. Ohta, Marco Ghimenti, Marco Squassina, R. K. Dodd, S. Cuccagna, S. Le Coz, S. Le Coz, Stefan Le Coz, T. Cazenave, T. Cazenave, T. D'Aprile, T. Tao, T.-C. Lin, V. Benci, Y. Liu, Y. Yu, Y.-G. Oh   +41 more
core   +3 more sources

On a theorem of H. Hopf

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

Eigenvalues for a class of singular problems involving p(x)-Biharmonic operator and q(x)-Hardy potential

Advances in Nonlinear Analysis, 2019
In this paper, we consider the nonlinear eigenvalue problem:
Khalil Abdelouahed El, Laghzal Mohamed, Alaoui My Driss Morchid, Touzani Abdelfattah   +3 more
doaj   +1 more source

Multiplicity and concentration behaviour of solutions for a fractional Choquard equation with critical growth

Advances in Nonlinear Analysis, 2020
In this paper, we study the singularly perturbed fractional Choquard ...
Yang Zhipeng, Zhao Fukun
doaj   +1 more source

On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent [PDF]

, 2006
We consider the nonlinear eigenvalue problem $-{\rm div}(|\nabla u|^{p(x)-2}\nabla u)=\lambda |u|^{q(x)-2}u$ in $\Omega$, $u=0$ on $\partial\Omega$, where $\Omega$ is a bounded open set in $\RR^N$ with smooth boundary and $p$, $q$ are continuous ...
Mihailescu, Mihai, Radulescu, Vicentiu
core   +1 more source

Multiple perturbations of a singular eigenvalue problem

, 2015
We study the perturbation by a critical term and a $(p-1)$-superlinear subcritical nonlinearity of a quasilinear elliptic equation containing a singular potential. By means of variational arguments and a version of the concentration-compactness principle
Cencelj, Matija, Repovš, Dušan, Virk, Žiga   +2 more
core   +1 more source

The effect of the graph topology on the existence of multipeak solutions for nonlinear Schrödinger equations

, 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

Critical fractional $p$-Laplacian problems with possibly vanishing potentials

, 2015
We obtain nontrivial solutions of a critical fractional $p$-Laplacian equation in the whole space and with possibly vanishing potentials. In addition to the usual difficulty of the lack of compactness associated with problems involving critical Sobolev ...
Perera, Kanishka, Squassina, Marco, Yang, Yang   +2 more
core   +1 more source