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Sufficient close-to-necessary condition for the existence of homoclinic orbits, and applications
In this paper, we give a general and weak sufficient condition to guaranteeing the existence of infinitely many homoclinic solutions for some classes...
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The Global Solution and Blowup of a Spatiotemporal EIT Problem with a Dynamical Boundary Condition
We study a spatiotemporal EIT problem with a dynamical boundary condition for the fractional Dirichlet-to-Neumann operator with a critical exponent....
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Sharp Higher Order Adams’ Inequality with Exact Growth Condition on Weighted Sobolev Spaces
This paper introduces a novel higher order Adams inequality that incorporates an exact growth condition for a class of weighted Sobolev spaces. Our...
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Stability of Minimization Problems and the Error Bound Condition
It is well known that Error Bound conditions provide some (usually linear or sublinear) rate of convergence for gradient descent methods in...
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A Strong Maximum Principle for the Fractional Laplace Equation with Mixed Boundary Condition
In this work we prove a strong maximum principle for fractional elliptic problems with mixed Dirichlet–Neumann boundary data which extends the one...
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Periodic solutions for second-order difference equations with quadratic–supquadratic condition
In this paper, we consider the existence of multiple periodic solutions for a class of second-order difference equations with quadratic–supquadratic...
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General and weak sufficient condition for Hamiltonian systems
In this paper, we give a general and weak sufficient condition who is very close to a necessary and sufficient condition for the existence of a...
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Nonlinear free vibration of piezoelectric semiconductor doubly-curved shells based on nonlinear drift-diffusion model
In this paper, the nonlinear free vibration behaviors of the piezoelectric semiconductor (PS) doubly-curved shell resting on the Pasternak foundation...
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A critical p(x)-biharmonic Kirchhoff type problem with indefinite weight under no flux boundary condition
The aim of this work is to study the existence and the multiplicity of nontrivial weak solutions for a class of fourth order p ( x )-Kirchhoff type...
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Condition for the Intersection Occupation Measure to be Absolutely Continuous
Given i.i.d. ℝ d -valued stochastic processes X 1 ( t ) , . . . ,X p ( t ) , p ≥ 2 , with stationary increments, a minimal condition is provided for the...
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Tighter bound estimation for efficient biquadratic optimization over unit spheres
Bi-quadratic programming over unit spheres is a fundamental problem in quantum mechanics introduced by pioneer work of Einstein, Schrödinger, and...
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On a critical fourth order Leray–Lions \(p(\cdot )\)-Kirchhoff type problem with no-flux boundary condition
Using variational methods combined with the genus theory, we investigate in this paper, the existence of nontrivial weak solutions for a class of...
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Uniform Rectifiability and Elliptic Operators Satisfying a Carleson Measure Condition
The present paper establishes the correspondence between the properties of the solutions of a class of PDEs and the geometry of sets in Euclidean...
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A new model for dissipative particle dynamics boundary condition of walls with different wettabilities
The implementation of solid-fluid boundary condition has been a major challenge for dissipative particle dynamics (DPD) method. Current...
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A tropical-algebraic method for the control of timed event graphs with partial synchronization
This paper studies a scenario in which the occurrence of one or more events in a discrete event system is subject to external restrictions which may...
