Results 11 to 20 of about 68 (68)
On eigenvalue problems governed by the (p,q)-Laplacian [PDF]
, 2023 This is a survey on recent results, mostly of the authors, regarding eigenvalue problems governed by the (p, q)−Laplacian and related open problems. Mathematics Subject Classification (2010): 35J60, 35J92, 35P30.
BARBU, Lumini¸ta +3 more
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Multiple solutions for eigenvalue problems involving the (p,q)-Laplacian [PDF]
, 2023 This paper is devoted to a subject that Professor Csaba Varga suggested during his frequent visits to the University of Perugia and in my regular stays at the “Babe¸s-Bolyai” University.
Patrizia Pucci, PUCCI, Patrizia
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Eigenvalues for anisotropic p−Laplacian under a Steklov-like boundary condition [PDF]
, 2021 The eigenvalue problem −div (1p∇ξ(Fp(∇u))=λa(x)∣u∣q−2u, with $q\in (1, \infty),~ p\in \Big(\frac{Nq}{N+q-1}, \infty\Big),~ p\neq q,$ subject to Steklov-like boundary condition, Fp−1(∇u)∇ξF(∇u)⋅ν=λb(x)∣u∣q−2u is investigated on a bounded Lipschitz domain $
BARBU, Luminița
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On the solvability of discrete nonlinear Neumann problems involving the p [PDF]
, 2011 In this article, we prove the existence and uniqueness of solutions for a family of discrete boundary value problems for data f which belongs to a discrete Hilbert space W.
Aboudramane Guiro +3 more
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Classification of the Solutions of Semilinear Elliptic Problems in a Ball [PDF]
, 2000 In this paper we fully describe the set of the positive and nodal (regular and singular) radial solutions of the superlinear elliptic P.D.E. \Gamma\Deltau = u + juj p\Gamma1 u in B 1 ; u = 0 on @B 1 ; p ? 1 ; (1) without restriction on the range of 2
Dolbeault, Jean +6 more
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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
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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
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
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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
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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
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