Results 1 to 10 of about 3,553 (102)

Notes on aplications of the dual fountain theorem to local and nonlocal elliptic equations with variable exponent [PDF]

Opuscula Mathematica, 2022
Using the Dual Fountain Theorem we obtain some existence of infinitely many solutions for local and nonlocal elliptic equations with variable exponent. Our results correct some of the errors that have appeared recently in the literature.
Robert Stegliński
doaj   +4 more sources

Multiplicity Results of Solutions to the Double Phase Problems of Schrödinger–Kirchhoff Type with Concave–Convex Nonlinearities

Mathematics, 2023
The present paper is devoted to establishing several existence results for infinitely many solutions to Schrödinger–Kirchhoff-type double phase problems with concave–convex nonlinearities.
Yun-Ho Kim, Taek-Jun Jeong
doaj   +1 more source

Multiplicity Results of Solutions to Non-Local Magnetic Schrödinger–Kirchhoff Type Equations in ${\mathbb{R}}^N$

Axioms, 2022
In this paper, we establish the existence of a nontrivial weak solution to Schrödinger-kirchhoff type equations with the fractional magnetic field without Ambrosetti and Rabinowitz condition using mountain pass theorem under a suitable assumption of the ...
Kisoeb Park
doaj   +1 more source

Existence and Multiplicity of Solutions for a Class of Anisotropic Double Phase Problems

Advances in Mathematical Physics, 2020
We consider the following double phase problem with variable exponents: −div∇upx−2∇u+ax∇uqx−2∇u=λfx,u in Ω,u=0, on ∂Ω. By using the mountain pass theorem, we get the existence results of weak solutions for the aforementioned problem under some ...
Jie Yang, Haibo Chen, Senli Liu
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Infinitely Many Small Energy Solutions to the Double Phase Anisotropic Variational Problems Involving Variable Exponent

Axioms, 2023
This paper is devoted to double phase anisotropic variational problems for the case of a combined effect of concave–convex nonlinearities when the convex term does not require the Ambrosetti–Rabinowitz condition.
Jun-Hyuk Ahn, Yun-Ho Kim
doaj   +1 more source

Infinitely Many Small Energy Solutions to Schrödinger-Kirchhoff Type Problems Involving the Fractional $r(·)$-Laplacian in ${\mathbb{R}}^N$

Fractal and Fractional, 2023
This paper is concerned with the existence result of a sequence of infinitely many small energy solutions to the fractional r(·)-Laplacian equations of Kirchhoff–Schrödinger type with concave–convex nonlinearities when the convex term does not require ...
Yun-Ho Kim
doaj   +1 more source

Multiple Solutions to a Non-Local Problem of Schrödinger–Kirchhoff Type in ℝ^N

Fractal and Fractional, 2023
The main purpose of this paper is to show the existence of a sequence of infinitely many small energy solutions to the nonlinear elliptic equations of Kirchhoff–Schrödinger type involving the fractional p-Laplacian by employing the dual fountain theorem ...
In Hyoun Kim, Yun-Ho Kim, Kisoeb Park
doaj   +1 more source

Cluster tilting vs. weak cluster tilting in Dynkin type A infinity [PDF]

, 2014
This paper shows a new phenomenon in higher cluster tilting theory. For each positive integer d, we exhibit a triangulated category C with the following properties.
Holm, Thorsten, Jorgensen, Peter
core   +4 more sources

Torsion pairs in a triangulated category generated by a spherical object [PDF]

, 2015
We extend Ng's characterisation of torsion pairs in the 2-Calabi-Yau triangulated category generated by a 2-spherical object to the characterisation of torsion pairs in the w-Calabi-Yau triangulated category, $T_w$, generated by a w-spherical object for ...
Pauksztello, David, Simoes, Raquel Coelho   +1 more
core   +2 more sources

Partial mirror symmetry, lattice presentations and algebraic monoids [PDF]

, 2011
This is the second in a series of papers that develops the theory of reflection monoids, motivated by the theory of reflection groups. Reflection monoids were first introduced in arXiv:0812.2789.
Everitt, Brent, Fountain, John
core   +2 more sources