Results 51 to 60 of about 686 (101)

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

Homoclinic solutions for second order discrete p-Laplacian systems

, 2011
Some new existence theorems for homoclinic solutions are obtained for a class of second-order discrete p-Laplacian systems by critical point theory, a homoclinic orbit is obtained as a limit of 2kT-periodic solutions of a certain sequence of the second ...
Xiaofei He, Peng Chen
semanticscholar   +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

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

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

Infinitely many periodic solutions for some second-order differential systems with p(t)-Laplacian

Boundary Value Problems, 2011
In this article, we investigate the existence of infinitely many periodic solutions for some nonautonomous second-order differential systems with p(t)-Laplacian. Some multiplicity results are obtained using critical point theory.
Zhang Liang, Tang Xian, Chen Jing
doaj  

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

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

On a geometric equation involving the Sobolev trace critical exponent

, 2013
In this paper we consider the problem of prescribing the mean curvature on the boundary of the unit ball of Rn, n≥4. Under the assumption that the prescribed function is flat near its critical point, we give precise estimates on the losses of the ...
M. Al-Ghamdi, H. Chtioui, Khadijah Sharaf   +2 more
semanticscholar   +1 more source

Subharmonic solutions of first-order Hamiltonian systems

Advances in Nonlinear Analysis
The aim of this article is to study subharmonic solutions of superquadratic and asymptotically (constant) linear nonautonomous Hamiltonian systems in R2n{{\mathbb{R}}}^{2n} respectively, and to improve the results in Professor Liu’s [Subharmonic ...
Zhou Yuting
doaj   +1 more source