Results 31 to 40 of about 222 (73)
Existence of homoclinic solutions for a class of difference systems involving p-Laplacian
Advances 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
Action minimizing fronts in general FPU-type chains [PDF]
, 2010 We study atomic chains with nonlinear nearest neighbour interactions and prove the existence of fronts (heteroclinic travelling waves with constant asymptotic states).
A. Pankov +25 more
core +1 more source
, 2020 We study, in dimension $n\geq2$, the eigenvalue problem and the torsional rigidity for the $p$-Laplacian on convex sets with holes, with external Robin boundary conditions and internal Neumann boundary conditions.
Paoli, Gloria +2 more
core +1 more source
Nash-type equilibria and periodic solutions to nonvariational systems
Advances 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
Characterization of subdifferentials of a singular convex functional in Sobolev spaces of order minus one [PDF]
, 2011 Subdifferentials of a singular convex functional representing the surface free energy of a crystal under the roughening temperature are characterized. The energy functional is defined on Sobolev spaces of order -1, so the subdifferential mathematically ...
Kashima, Yohei
core +2 more sources
Boundary 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
Periodic travelling waves in convex Klein-Gordon chains
, 2009 We study Klein-Gordon chains with attractive nearest neighbour forces and convex on-site potential, and show that there exists a two-parameter family of periodic travelling waves (wave trains) with unimodal and even profile functions. Our existence proof
Bates +10 more
core +1 more source
A gradient flow approach to a thin film approximation of the Muskat problem [PDF]
, 2011 A fully coupled system of two second-order parabolic degenerate equations arising as a thin film approximation to the Muskat problem is interpreted as a gradient flow for the 2-Wasserstein distance in the space of probability measures with finite second ...
Laurencot, Philippe +1 more
core +5 more sources
One‐sided resonance for quasilinear problems with asymmetric nonlinearities
, 2002 Abstract and Applied Analysis, Volume 7, Issue 1, Page 53-60, 2002.
Kanishka Perera
wiley +1 more source
Infinitely many solutions for a class of hemivariational inequalities involving p(x)-Laplacian
Analele 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