Results 101 to 110 of about 1,002 (168)
Solutions to perturbed eigenvalue problems of the p-Laplacian in RN
Electronic Journal of Differential Equations, 1997 Using a variational approach, we investigate the existence of solutions for non-autonomous perturbations of the p-Laplacian eigenvalue problem $$ -Delta _pu=f(x,u)quad { m in}quad {Bbb R}^N,. $$ Under the assumptions that the primitive $F(x,u)$ of $f(x,u)
Joao Marcos Do O
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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
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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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Critical points of non-smooth functions with a weak compactness condition
, 2009 In the framework of non-differentiable functionals expressed as a locally Lipschitz continuous term plus a convex, proper, lower semi-continuous function, a critical point result is established under a new weak Palais–Smale hypothesis, which contains the
Marano, Salvatore A. +3 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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On a semilinear elliptic problem without (PS) condition
, 2003 An existence result for semilinear elliptic problems whose associated functionals do not satisfy a Palais–Smale condition is proved. The nonlinearity of our problem fits none of the conditions in Ambrosetti and Rabinowitz (J. Funct. Anal. 14 (1973) 349),
Yang, J., de Figueiredo, D.G.
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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
On finding sign-changing solutions
, 2006 Some parameter-depending linking theorems are established, which allow to produce a bounded and sign-changing Palais–Smale sequence. For even functionals, a parameter-depending fountain theorem is obtained which provides infinitely many bounded and sign ...
Zou, Wenming
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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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