Mountain Pass Theorem and Applications to Fourth-order PDES with Variable Exponents
The authors establish the existence of multiple weak solutions to a fourth order equation. Their analysis employs the Mountain Pass Theorem combined with variable exponent theory of generalized Lebesgue-Sobolev spaces.
Ghasem A. Afrouzi +2 more
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Natural image statistics for mouse vision. [PDF]
PLoS One, 2022 Abballe L, Asari H.
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Numerical mountain pass and its applications
, 2006 The mountain pass theorem is an important tool in the calculus of variations and in finding solutions to nonlinear PDEs in general. The mountain pass structure can be exploited numerically, as well.
Gabriel J. Lord +8 more
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Information Frictions in Real Estate Markets: Recent Evidence and Issues. [PDF]
J Real Estate Financ Econ (Dordr), 2023 Broxterman D, Zhou T.
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Expected versus Unexpected Monetary Policy Impulses and Interest Rate Pass-Through in Eurozone Retail Banking [PDF]
This paper follows up on recent studies of the Eurozone interest rate pass-through. Using a generalized empirical approach that allows for a variety of different specifications of the pass-through, including asymmetric adjustment, the role of interest ...
Kleimeier,Stefanie, Sander,Harald
core
Multiple solutions for quasilinear elliptic equations with sign-changing potential
Electronic Journal of Differential Equations, 2016 In this article, we study the quasilinear elliptic equation $$ -\Delta_{p} u-(\Delta_{p}u^{2})u+ V (x)|u|^{p-2}u=g(x,u), \quad x\in \mathbb{R}^N, $$ where the potential V(x) and the nonlinearity g(x,u) are allowed to be sign-changing.
Ruimeng Wang, Kun Wang, Kaimin Teng
doaj
Standing Waves of the NLS Equation on Locally Finite Weighted Graphs: A Linking Geometry Approach
Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri DergisiWe investigate wave solutions of the nonlinear Schrödinger equation (H-λ)u=f(x,u) on a locally finite weighted graph, where H is the associated Schrödinger operator.
Setenay Akduman
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Electronic Journal of Differential EquationsIn this article, we show that the Schrodinger-Bopp-Podolsky system with Dirichlet boundary conditions in a bounded domain possesses infinitely many solutions of prescribed frequency, for any set of (continuous) boundary conditions, provided that the ...
Danilo Gregorin Afonso, Bruno Mascaro
doaj
Ground state sign-changing solution for a logarithmic Kirchhoff-type equation in $\mathbb{R}^{3}$
Electronic Journal of Qualitative Theory of Differential EquationsWe investigate the following logarithmic Kirchhoff-type equation: \begin{equation*} \left(a+b\int_{\mathbb{R}^{3}}|\nabla u|^{2}+V(x)u^{2}dx\right)[-\Delta u+V(x)u]=|u|^{p-2}u\ln |u|,\qquad x\in\mathbb{R}^{3}, \end{equation*} where $a,b>0$ are constants,
Wei-Long Yang, Jia-Feng Liao
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The Discriminative Kalman Filter for Bayesian Filtering with Nonlinear and Nongaussian Observation Models. [PDF]
Neural Comput, 2020 Burkhart MC +4 more
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