Results 41 to 50 of about 429 (89)
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
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Variational eigenvalues of a quasilinear subelliptic equation [PDF]
arXiv, 2023 We use a well-known Lusternik-Schnirelman theory to prove the existence of a nondecreasing sequence of variational eigenvalues for the subelliptic $p$-Laplacian subject to the Dirichlet boundary conditon.
arxiv
Non-autonomous Eigenvalue Problems with Variable (p1,p2)-Growth
Advanced Nonlinear Studies, 2017 We are concerned with the study of a class of non-autonomous eigenvalue problems driven by two non-homogeneous differential operators with variable (p1,p2){(p_{1},p_{2})}-growth.
Baraket Sami +3 more
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On the solvability of discrete nonlinear Neumann problems involving the
Advances in Difference Equations, 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. 2010 Mathematics Subject Classification: 47A75; 35B38; 35P30; 34L05; 34L30.
Ouaro Stanislas +2 more
doaj
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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Three nontrivial solutions for nonlinear fractional Laplacian equations
Advances in Nonlinear Analysis, 2018 We study a Dirichlet-type boundary value problem for a pseudodifferential equation driven by the fractional Laplacian, proving the existence of three non-zero solutions.
Düzgün Fatma Gamze +1 more
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Proceedings of the Edinburgh Mathematical Society, 2004 In this paper we consider the existence and multiplicity of positive solutions of a nonlinear elliptic boundary-value problem with nonlinear boundary conditions which arises in population dynamics.
Kenichiro Umezu
semanticscholar +1 more source
Regularity, positivity and asymptotic vanishing of solutions of a φ-Laplacian
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this note we prove that solutions of a φ-Laplacian operator on the entire space ℝN are locally regular (Hölder continuous), positive and vanish at infinity. Mild restrictions are imposed on the right-hand side of the equation. For example, we assume a
Arriagada Waldo, Huentutripay Jorge
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Remarks on Eigenvalue Problems for Fractional $p(\cdot)$-Laplacian [PDF]
arXiv, 2020 In this paper, we give some properties and remarks of the new fractional Sobolev spaces with variable exponents. We also study the eigenvalue problem involving the new fractional $p(\cdot)$-Laplacian.
arxiv