Results 31 to 40 of about 595 (95)

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

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

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

Existence and multiplicity of solutions for a class of superlinear p-Laplacian equations

Advances in Nonlinear Analysis
In this work, we investigate a class of pp-Laplacian equations with the Dirichlet boundary condition. Under some new conditions, the existence and multiplicity of nontrivial solutions are proved by means of the variational methods.
Zhao Tai-Jin, Li Chun
doaj   +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

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

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

Existence and multiplicity of Homoclinic solutions for the second order Hamiltonian systems [PDF]

, 2011
In this paper we study the existence and multiplicity of homoclinic solutions for the second order Hamiltonian system $\ddot{u}-L(t)u(t)+W_u(t,u)=0$, $\forall t\in\mathbb{R}$, by means of the minmax arguments in the critical point theory, where $L(t)$ is
Chungen Liu, Chungen Liu, Qingye Zhang, Qingye Zhang   +3 more
core  

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

Sign-changing solutions for some nonlinear problems with strong resonance

Boundary Value Problems, 2011
By means of critical point and index theories, we obtain the existence and multiplicity of sign-changing solutions for some elliptic problems with strong resonance at infinity, under weaker conditions.
Qian Aixia
doaj