Results 11 to 20 of about 53 (53)
Deformation of domain and the limit of the variational eigenvalues of semilinear elliptic operators
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 679-688, 1996., 1994 We consider the semilinear elliptic eigenvalue problem The asymptotic behavior of the variational eigenvalues μ = μn(r, α) obtained by Ljusternik‐Schnirelman theory is studied when the domain Ω0 is deformed continuously. We also consider the cases that Vol(Ωr) → 0, ∞ as r → ∞.
Tetsutaro Shibata
wiley +1 more source
Advances in Nonlinear Analysis, 2018 In this paper, we study optimal lower and upper bounds for functionals involving the first Dirichlet eigenvalue λF(p,Ω){\lambda_{F}(p,\Omega)} of the anisotropic p-Laplacian ...
Della Pietra Francesco +2 more
doaj +1 more source
A multiplicity result for the scalar field equation
Advances in Nonlinear Analysis, 2014 We prove the existence of N - 1 distinct pairs of nontrivial solutions of the scalar field equation in ℝN under a slow decay condition on the potential near infinity, without any symmetry assumptions.
Perera Kanishka
doaj +1 more source
An optimal mass transport approach for limits of eigenvalue problems for the fractional p-Laplacian
Advances in Nonlinear Analysis, 2015 We find an interpretation using optimal mass transport theory for eigenvalue problems obtained as limits of the eigenvalue problems for the fractional p-Laplacian operators as p → +∞. We deal both with Dirichlet and Neumann boundary conditions.
Del Pezzo Leandro +3 more
doaj +1 more source
A pathological example in nonlinear spectral theory
Advances in Nonlinear Analysis, 2017 We construct an open set Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}} on which an eigenvalue problem for the p-Laplacian has no isolated first eigenvalue and the spectrum is not discrete.
Brasco Lorenzo, Franzina Giovanni
doaj +1 more source
Generalized Picone inequalities and their applications to (p,q)-Laplace equations
Open Mathematics, 2020 We obtain a generalization of the Picone inequality which, in combination with the classical Picone inequality, appears to be useful for problems with the (p,q)(p,q)-Laplace-type operators.
Bobkov Vladimir, Tanaka Mieko
doaj +1 more source
A note on the Dancer–Fučík spectra of the fractional p-Laplacian and Laplacian operators
Advances in Nonlinear Analysis, 2015 We study the Dancer–Fučík spectrum of the fractional p-Laplacian operator. We construct an unbounded sequence of decreasing curves in the spectrum using a suitable minimax scheme. For p = 2, we present a very accurate local analysis.
Perera Kanishka +2 more
doaj +1 more source
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
Limiting Sobolev inequalities and the 1-biharmonic operator
Advances in Nonlinear Analysis, 2014 In this article we present recent results on optimal embeddings, and associated PDEs, of the space of functions whose distributional Laplacian belongs to L1.
Parini Enea +2 more
doaj +1 more source
Some hemivariational inequalities in the Euclidean space
Advances in Nonlinear Analysis, 2019 The purpose of this paper is to study the existence of weak solutions for some classes of hemivariational problems in the Euclidean space ℝd (d ≥ 3). These hemivariational inequalities have a variational structure and, thanks to this, we are able to find
Bisci Giovanni Molica, Repovš Dušan
doaj +1 more source