Results 21 to 30 of about 494 (174)
Boundary Value Problems, 2020 In this paper, a class of quasilinear Schrödinger equations with discontinuous nonlinearity is considered. After changing variables, by using nonsmooth critical point theory, we obtain the existence and concentration of positive solutions for this ...
Ziqing Yuan
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Multiple positive solutions for a logarithmic Schrödinger–Poisson system with singular nonelinearity
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this article, we devote ourselves to investigate the following logarithmic Schrödinger–Poisson systems with singular nonlinearity \begin{equation*} \begin{cases} -\Delta u+\phi u= |u|^{p-2}u\log|u|+\frac{\lambda}{u^\gamma}, &\rm \mathrm{in ...
Linyan Peng +4 more
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Nonlinear Periodic Systems with the p-Laplacian: Existence and Multiplicity Results
Abstract and Applied Analysis, 2007 We study second-order nonlinear periodic systems driven by the vector p-Laplacian with a nonsmooth, locally Lipschitz potential function. Under minimal and natural hypotheses on the potential and using variational methods based on the nonsmooth critical ...
Francesca Papalini
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Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we study the following fractional Kirchhoff type equation \begin{equation*} \begin{cases} \left(a+b\displaystyle\int_{\mathbb{R}^N}\int_{\mathbb{R}^N}\frac{|u(x)-u(y)|^p}{|x-y|^{N+ps}}dxdy\right)(-\Delta)_p^su=|u|^{q-2}u\ln |u|^2+\frac ...
Jun Lei
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Positive entire solutions of quasilinear elliptic problems via nonsmooth critical point theory [PDF]
Topological Methods in Nonlinear Analysis, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CONTI, MONICA, GAZZOLA, FILIPPO
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Multiple solutions for nonlinear discontinuous strongly resonant elliptic problems
Abstract and Applied Analysis, 2000 We consider quasilinear strongly resonant problems with discontinuous right-hand side. To develop an existence theory we pass to a multivalued problem by, roughly speaking, filling in the gaps at the discontinuity points.
Nikolaos C. Kourogenis +1 more
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Periodic Solutions of Second-Order Differential Inclusions Systems with -Laplacian
Abstract and Applied Analysis, 2012 The existence of periodic solutions for nonautonomous second-order differential inclusion systems with -Laplacian is considered. We get some existence results of periodic solutions for system, a.e. , , by using nonsmooth critical point theory.
Liang Zhang, Peng Zhang
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An obstacle problem for nonlinear hemivariational inequalities at resonance [PDF]
, 2002 In this paper we examine an obstacle problem for a nonlinear hemivariational inequality at resonance driven by the p-Laplacian. Using a variational approach based on the nonsmooth critical point theory for locally Lipschitz functionals defined on a ...
Kyritsi, Sophia Th. +3 more
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Multiple Solutions for a Class of Differential Inclusion System Involving the (p(x),q(x))-Laplacian
Abstract and Applied Analysis, 2012 We consider a differential inclusion system involving the (p(x),q(x))-Laplacian with Dirichlet boundary condition on a bounded domain and obtain two nontrivial solutions under appropriate hypotheses.
Bin Ge, Ji-Hong Shen
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Advanced Intelligent Discovery, EarlyView.This article outlines how artificial intelligence could reshape the design of next‐generation transistors as traditional scaling reaches its limits. It discusses emerging roles of machine learning across materials selection, device modeling, and fabrication processes, and highlights hierarchical reinforcement learning as a promising framework for ...
Shoubhanik Nath +4 more
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