Results 31 to 40 of about 98 (89)

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 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

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

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

New multiplicity results in prescribing Q-curvature on standard spheres

Advanced Nonlinear Studies
In this paper, we study the problem of prescribing Q-Curvature on higher dimensional standard spheres. The problem consists in finding the right assumptions on a function K so that it is the Q-Curvature of a metric conformal to the standard one on the ...
Ben Ayed Mohamed, El Mehdi Khalil
doaj   +1 more source

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

, 1998
Abstract and Applied Analysis, Volume 3, Issue 3-4, Page 293-318, 1998.
E. N. Dancer, K. Y. Lam, S. Yan
wiley   +1 more source

Existence and multiplicity of solutions for fractional p-Laplacian equation involving critical concave-convex nonlinearities

Advanced Nonlinear Studies
We investigate the following fractional p-Laplacian convex-concave problem:(Pλ)(−Δ)psu=λ|u|q−2u+|u|ps*−2u inΩ,u=0 inRn\Ω,  $$\left({P}_{\lambda }\right) \begin{cases}\begin{aligned}\hfill {\left(-{\Delta}\right)}_{p}^{s}u& =\lambda \vert u{\vert
Ye Dong, Zhang Weimin
doaj   +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 of Solutions for Kirchhoff Equations with Magnetic Field

Advanced Nonlinear Studies, 2021
In this paper, we study the following nonlinear magnetic Kirchhoff equation:
Ji Chao, Rădulescu Vicenţiu D.
doaj   +1 more source

Multiple concentrating solutions for a fractional (p, q)-Choquard equation

Advanced Nonlinear Studies
We focus on the following fractional (p, q)-Choquard problem: (−Δ)psu+(−Δ)qsu+V(εx)(|u|p−2u+|u|q−2u)=1|x|μ*F(u)f(u) in RN,u∈Ws,p(RN)∩Ws,q(RN),u>0 in RN, $\begin{cases}{\left(-{\Delta}\right)}_{p}^{s}u+{\left(-{\Delta}\right)}_{q}^{s}u+V\left(\varepsilon ...
Ambrosio Vincenzo
doaj   +1 more source