Results 101 to 110 of about 2,493,959 (162)
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, $$displaylines{ -Big[gBig(int_Omega|abla u|^pdxBig)Big]Delta_pu =lambda f(x,u)+|u|^{p^star-2}uquadext{in }Omega,cr u=0quadext{on ...
Ahmed Hamydy +2 more
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A deformation theorem in the noncompact nonsmooth setting and its applications
Electronic Journal of Differential Equations, 2001 We build a deformation for a continuous functional defined on a Banach space and invariant with respect to an isometric action of a noncompact group. Under these assumptions the Palais-Smale condition does not hold.
Gianni Arioli
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-bubbles for Palais–Smale maps to potential type energy functionals
, 2013 We prove a decomposition into generalized bubbles for Palais–Smale sequences associated with potential energy functionals for vector-valued function spaces.
Gil F. Souza +3 more
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Half-Reeb components, Palais-Smale condition and global injectivity of local diffeomorphisms in R3
, 2021 Let F = (F1, F2, F3): R3 → R3 be a C∞ local diffeomorphism. We prove that each of the following conditions are sufficient to the global injectivity of F: A) The foliations FFi made up by the connected components of the level surfaces Fi = constant ...
Braun, Francisco, Venato-Santos, Jean
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Electronic Journal of Differential Equations, 2006 In this work we study the existence of a positive solutions to the non homogeneous equation $$ 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
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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
The Palais-Smale condition for contact type energy levels for convex lagrangian systems
, 2003 . We prove that for a uniformly convex Lagrangian system L on a compact manifold M, almost all energy levels contain a periodic orbit. We also prove that below Mañé’s critical value of the lift of the Lagrangian to the universal cover, cu(L), almost ...
Gonzalo Contreras
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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
Ume's u-distance and its relation with both (PS)-condition and coercivity [PDF]
, 2011 In this article, we study the connection between the u-distance and a new Palais-Smale condition of compactness.
Goga, Georgiana
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