Results 81 to 90 of about 200 (141)
On the Palais-Smale condition in geometric knot theory
We prove that various families of energies relevant in geometric knot theory satisfy the Palais-Smale condition (PS) on submanifolds of arclength para\-metrized knots. These energies include linear combinations of the Euler-Bernoulli bending energy with a wide variety of non-local knot energies, such as O'Hara's self-repulsive potentials $E^{α,p}
Freches, Nicolas +3 more
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Existence of solutions for p-Kirchhoff type problems with critical exponent
Electronic Journal of Differential Equations, 2011 We study the existence of solutions for the p-Kirchhoff type problem involving the critical Sobolev exponent, $$displaylines{ -Big[gBig(int_Omega|abla u|^pdxBig)Big]Delta_pu =lambda f(x,u)+|u|^{p^star-2}uquadext{in }Omega,cr u=0quadext{on ...
Ahmed Hamydy +2 more
doaj
Comptes Rendus. Mathématique, 2002 In this Note, we propose a new proof for the existence of a minimum in the multiconfiguration methods in Quantum Chemistry. We use a Palais–Smale condition with Morse-type information, whose proof is based on the Euler–Lagrange equations, written in a simple and useful way.
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A deformation theorem in the noncompact nonsmooth setting and its applications
Electronic Journal of Differential Equations, 2001 We build a deformation for a continuous functional defined on a Banach space and invariant with respect to an isometric action of a noncompact group. Under these assumptions the Palais-Smale condition does not hold.
Gianni Arioli
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Infinitely many homoclinic solutions for second order nonlinear difference equations with p-Laplacian. [PDF]
ScientificWorldJournal, 2014 Sun G, Mai A.
europepmc +1 more source
Electronic Journal of Differential Equations, 2006 In this work we study the existence of a positive solutions to the non homogeneous equation $$ Delta( |Delta u|^{p-2} Delta u) = m |u|^{q-2}u $$ with Navier boundary conditions, where $1 less than ,q less than p_2^*$ and $min L^infty(Omega)setminus {0}$,
Mohamed Talbi, Najib Tsouli
doaj
Nonlinear, Nonhomogeneous Periodic Problems with no Growth Control on the Reaction. [PDF]
J Dyn Control Syst, 2015 Gasiński L, Papageorgiou NS.
europepmc +1 more source
Solutions to Yang-Mills equations that are not self-dual. [PDF]
Proc Natl Acad Sci U S A, 1989 Sibner LM, Sibner RJ, Uhlenbeck K.
europepmc +1 more source
Modeling and simulation of electronic structure, material interface and random doping in nano electronic devices. [PDF]
J Comput Phys, 2010 Chen D, Wei GW.
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