Higher order Brezis-Nirenberg problem on hyperbolic spaces: Existence, nonexistence and symmetry of solutions
Sign Up to like & getrecommendations! Published in 2022 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2022.108259
Abstract: The main purpose of this paper is to establish the existence, nonexistence and symmetry of nontrivial solutions to the higher order Brezis-Nirenberg problems associated with the GJMS operators $P_k$ on bounded domains in the hyperbolic… read more here.
Keywords: nonexistence symmetry; higher order; hyperbolic spaces; existence nonexistence ... See more keywords
Existence and Nonexistence of Wave Operators for Time-Decaying Harmonic Oscillators
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DOI: 10.1016/s0034-4877(20)30040-9
Abstract: Controlled time-decaying harmonic potentials decelerate the velocity of the charged particle but the particle never be trapped by this harmonic potentials. This physical phenomena changes threshold between the short range class of potential and long-range… read more here.
Keywords: existence nonexistence; nonexistence wave; decaying harmonic; time decaying ... See more keywords
Parameter dependence for existence, nonexistence and multiplicity of nontrivial solutions for an Atıcı–Eloe dofractional difference Lidstone BVP
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DOI: 10.14232/ejqtde.2017.1.38
Abstract: Dependence on a parameter λ are established for existence, nonexistence and multiplicity results for nontrivial solutions to a nonlinear Atıcı–Eloe fractional difference equation ∆y(t− 2)− β∆ν−2y(t− 1) = λ f (t + ν− 1, y(t… read more here.
Keywords: dependence; nontrivial solutions; existence nonexistence; parameter ... See more keywords
Existence and Nonexistence of Positive Solutions for Perturbations of the Anisotropic Eigenvalue Problem
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DOI: 10.3390/sym15020495
Abstract: We consider a Dirichlet problem, which is a perturbation of the eigenvalue problem for the anisotropic p-Laplacian. We assume that the perturbation is (p(z)−1)-sublinear, and we prove an existence and nonexistence theorem for positive solutions… read more here.
Keywords: problem; positive solutions; eigenvalue problem; existence nonexistence ... See more keywords
Existence, nonexistence and uniqueness of positive solutions for nonlinear eigenvalue problems
Sign Up to like & getrecommendations! Published in 2017 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2017057
Abstract: We study the existence of positive solutions for perturbations of the classical eigenvalue problem for the Dirichlet $p-$Laplacian. We consider three cases. In the first the perturbation is $(p-1)-$sublinear near $+\infty$, while in the second… read more here.
Keywords: nonexistence uniqueness; existence; positive solution; positive solutions ... See more keywords