Results 1 to 10 of about 383 (61)
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 [PDF]
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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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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A pathological example in nonlinear spectral theory [PDF]
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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Principal eigenvalue problem for infinity Laplacian in metric spaces
Advanced Nonlinear Studies, 2022 This article is concerned with the Dirichlet eigenvalue problem associated with the ∞\infty -Laplacian in metric spaces. We establish a direct partial differential equation approach to find the principal eigenvalue and eigenfunctions in a proper geodesic
Liu Qing, Mitsuishi Ayato
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A non-smooth Brezis-Oswald uniqueness result
Open Mathematics, 2023 We classify the non-negative critical points in W01,p(Ω){W}_{0}^{1,p}\left(\Omega ) of J(v)=∫ΩH(Dv)−F(x,v)dx,J\left(v)=\mathop{\int }\limits_{\Omega }\hspace{0.15em}H\left(Dv)-F\left(x,v){\rm{d}}x, where HH is convex and positively pp-homogeneous, while ...
Mosconi Sunra
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Existence of solutions for a nonlinear problem at resonance
Demonstratio Mathematica, 2022 In this work, we are interested at the existence of nontrivial solutions for a nonlinear elliptic problem with resonance part and nonlinear boundary conditions. Our approach is variational and is based on the well-known Landesman-Laser-type conditions.
Haddaoui Mustapha +3 more
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A double-phase eigenvalue problem with large exponents
Open Mathematics, 2023 In the present article, we consider a double-phase eigenvalue problem with large exponents. Let λ(pn,qn)1{\lambda }_{\left({p}_{n},{q}_{n})}^{1} be the first eigenvalues and un{u}_{n} be the first eigenfunctions, normalized by ‖un‖ℋn=1\Vert {u}_{n}{\Vert
Yu Lujuan
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Multiplicity results for fractional Schrödinger-Kirchhoff systems involving critical nonlinearities
Advances in Nonlinear Analysis, 2023 In this article, we study certain critical Schrödinger-Kirchhoff-type systems involving the fractional pp-Laplace operator on a bounded domain. More precisely, using the properties of the associated functional energy on the Nehari manifold sets and ...
Fareh Soraya +3 more
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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
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