Results 1 to 10 of about 1,141 (123)
On Coron's problem for the p-Laplacian [PDF]
arXiv, 2014 We prove that the critical problem for the $p$-Laplacian operator admits a nontrivial solution in annular shaped domains with sufficiently small inner hole.
Mercuri, Carlo +2 more
core +2 more sources
A pathological example in Nonlinear Spectral Theory [PDF]
Advances in Nonlinear Analysis, 2017 We construct an open set $\Omega\subset\mathbb{R}^N$ on which an eigenvalue problem for the $p-$Laplacian has not isolated first eigenvalue and the spectrum is not discrete.
Brasco, Lorenzo, Franzina, Giovanni
core +3 more sources
Minimax solutions for a problem with sign changing nonlinearity and lack of strict convexity [PDF]
arXiv, 2013 A result of existence of a nonnegative and a nontrivial solution is proved via critical point theorems for non smooth functionals.
Magrone, Paola
core +5 more sources
On a nonlinear eigenvalue problem in Sobolev spaces with variable exponent [PDF]
, 2005 We consider a class of nonlinear Dirichlet problems involving the $p(x)$--Laplace operator. Our framework is based on the theory of Sobolev spaces with variable exponent and we establish the existence of a weak solution in such a space.
Dinu, Teodora Liliana
core +7 more sources
Species survival versus eigenvalues
Abstract and Applied Analysis, Volume 2004, Issue 2, Page 115-131, 2004., 2004 Mathematical models describing the behavior of hypothetical species in spatially heterogeneous environments are discussed and analyzed using the fibering method devised and developed by S. I. Pohozaev.
Luiz Antonio Ribeiro de Santana +2 more
wiley +1 more source
Trajectories under a vectorial potential on stationary manifolds
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 23, Page 1481-1495, 2003., 2003 By using variational methods, we study the existence and multiplicity of trajectories under a vectorial potential on (standard) stationary Lorentzian manifolds possibly with boundary.
Rossella Bartolo
wiley +1 more source
Minimax theorems on C1 manifolds via Ekeland variational principle
Abstract and Applied Analysis, Volume 2003, Issue 13, Page 757-768, 2003., 2003 We prove two minimax principles to find almost critical points of C1 functionals restricted to globally defined C1 manifolds of codimension 1. The proof of the theorems relies on Ekeland variational principle.
Mabel Cuesta
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 7, Page 429-438, 2002., 2002 Let H be a Hilbert space such that H = V ⊕ W, where V and W are two closed subspaces of H. We generalize an abstract theorem due to Lazer et al. (1975) and a theorem given by Moussaoui (1990‐1991) to the case where V and W are not necessarily finite dimensional.
H. Boukhrisse, M. Moussaoui
wiley +1 more source
On the existence of solutions to a fourth‐order quasilinear resonant problem
Abstract and Applied Analysis, Volume 7, Issue 3, Page 125-133, 2002., 2002 By means of Morse theory we prove the existence of a nontrivial solution to a superlinear p‐harmonic elliptic problem with Navier boundary conditions having a linking structure around the origin. Moreover, in case of both resonance near zero and nonresonance at +∞ the existence of two nontrivial solutions is shown.
Shibo Liu, Marco Squassina
wiley +1 more source
Generic singularities of minimax solutions to Hamilton--Jacobi equations [PDF]
, 2004 Minimax solutions are weak solutions to Cauchy problems involving Hamilton--Jacobi equations, constructed from generating families quadratic at infinity of their geometric solutions.
Capitanio, Gianmarco
core +3 more sources