Results 41 to 50 of about 410 (80)
Existence results for double-phase problems via Morse theory
, 2016 We obtain nontrivial solutions for a class of double-phase problems using Morse theory. In the absence of a direct sum decomposition, we use a cohomological local splitting to get an estimate of the critical groups at zero.Comment: 11 ...
Perera, Kanishka, Squassina, Marco
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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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Pucci eigenvalues on geodesic balls
, 2016 We study the eigenvalue problem for the Riemannian Pucci operator on geodesic balls. We establish upper and lower bounds for the principal Pucci eigenvalues depending on the curvature, extending Cheng's eigenvalue comparison theorem for the Laplace ...
Ariturk, Sinan
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On Bobkov-Tanaka type spectrum for the double-phase operator
Advanced Nonlinear StudiesMoving from the seminal papers by Bobkov and Tanaka [“On positive solutions for (p, q)-Laplace equations with two parameters,” Calc. Var. Partial Differ. Equ., vol. 54, pp.
Gambera Laura, Guarnotta Umberto
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Solving an abstract nonlinear eigenvalue problem by the inverse iteration method
, 2017 Let $\left( X,\left\Vert \cdot\right\Vert_{X}\right) $ and $\left( Y,\left\Vert \cdot\right\Vert_{Y}\right) $ be Banach spaces over $\mathbb{R},$ with $X$ uniformly convex and compactly embedded into $Y.$ The inverse iteration method is applied to solve ...
Ercole, Grey
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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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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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1+1 spectral problems arising from the Manakov-Santini system
, 2010 This paper deals with the spectral problem of the Manakov Santini system. The point Lie symmetries of the Lax pair have been identified. Several similarity reductions arise from these symmetries. An important benefit of our procedure is that the study of
Bluman G W +11 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper we are concerned with the study of the spectrum for a class of eigenvalue problems driven by two non-homogeneous differential operators with different variable growth and an indefinite potential in the following ...
Uţă Vasile-Florin
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On the approximation of the principal eigenvalue for a class of nonlinear elliptic operators
, 2016 We present a finite difference method to compute the principal eigenvalue and the corresponding eigenfunction for a large class of second order elliptic operators including notably linear operators in nondivergence form and fully nonlinear operators. The
Birindelli, Isabeau +2 more
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