Results 21 to 30 of about 70 (51)

Existence of fast homoclinic orbits for a class of second-order non-autonomous problems

open access: yesBoundary Value Problems, 2014
By applying the mountain pass theorem and the symmetric mountain pass theorem in critical point theory, the existence and multiplicity of fast homoclinic solutions are obtained for the following second-order non-autonomous problem: u¨(t)+q(t)u˙(t)−a(t)|u(
Qiongfen Zhang   +2 more
semanticscholar   +2 more sources

Existence and Multiplicity Results for a Class of Coupled Quasilinear Elliptic Systems of Gradient Type

open access: yesAdvanced Nonlinear Studies, 2021
The aim of this paper is investigating the existence of one or more weak solutions of the coupled quasilinear elliptic system of gradient ...
Candela Anna Maria   +2 more
doaj   +1 more source

Existence of homoclinic solutions for a class of difference systems involving p-Laplacian

open access: yesAdvances in Differential Equations, 2014
By using the critical point theory, some existence criteria are established which guarantee that the difference p-Laplacian systems of the form Δ(|Δu(n−1)|p−2Δu(n−1))−a(n)|u(n)|q−pu(n)+∇W(n,u(n))=0 have at least one or infinitely many homoclinic ...
Qiongfen Zhang
semanticscholar   +1 more source

Infinitely many solutions for a class of hemivariational inequalities involving p(x)-Laplacian

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper hemivariational inequality with nonhomogeneous Neumann boundary condition is investigated. The existence of infinitely many small solutions involving a class of p(x) - Laplacian equation in a smooth bounded domain is established.
Fattahi Fariba, Alimohammady Mohsen
doaj   +1 more source

One‐sided resonance for quasilinear problems with asymmetric nonlinearities

open access: yes, 2002
Abstract and Applied Analysis, Volume 7, Issue 1, Page 53-60, 2002.
Kanishka Perera
wiley   +1 more source

Existence of homoclinic solutions for a class of second order p-Laplacian systems with impulsive effects

open access: yesBoundary Value Problems, 2014
This paper is concerned with the existence of homoclinic solutions for a class of second order p-Laplacian systems with impulsive effects. A new result is obtained under more relaxed conditions by using the mountain pass theorem, a weak convergence ...
Li Li, Kai Chen
semanticscholar   +1 more source

Nash-type equilibria and periodic solutions to nonvariational systems

open access: yesAdvances in Nonlinear Analysis, 2014
The paper deals with variational properties of fixed points for contraction-type operators. Under suitable conditions, the unique fixed point of a vector-valued operator is a Nash-type equilibrium of the corresponding energy functionals. This is achieved
Precup Radu
doaj   +1 more source

Multiple solutions for a class of oscillatory discrete problems

open access: yesAdvances in Nonlinear Analysis, 2015
In this paper, we study a discrete nonlinear boundary value problem that involves a nonlinear term oscillating at infinity and a power-type nonlinearity up.
Mălin Maria
doaj   +1 more source

Existence results for nonlinear elliptic problems on fractal domains

open access: yesAdvances in Nonlinear Analysis, 2016
Some existence results for a parametric Dirichlet problem defined on the Sierpiński fractal are proved. More precisely, a critical point result for differentiable functionals is exploited in order to prove the existence of a well-determined open interval
Ferrara Massimiliano   +2 more
doaj   +1 more source

Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities

open access: yesAdvanced Nonlinear Studies
In this paper we study the following nonlinear fractional Hartree (or Choquard-Pekar) equation (−Δ)su+μu=(Iα*F(u))F′(u) inRN, ${\left(-{\Delta}\right)}^{s}u+\mu u=\left({I}_{\alpha }{\ast}F\left(u\right)\right){F}^{\prime }\left(u\right)\quad \text{in} {\
Cingolani Silvia   +2 more
doaj   +1 more source

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