Weak solutions to general Euler's equations via nonsmooth critical point theory [PDF]
Annales de la Faculté des sciences de Toulouse : Mathématiques, 2000 Using the nonsmooth critical point theory the author proves the existence of a nontrivial weak solution for a general class of nonlinear elliptic boundary value problems on a bounded domain.
Squassina, Marco, Marco Squassina
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Three solutions for second-order impulsive differential inclusions with Sturm-Liouville boundary conditions via nonsmooth critical point theory [PDF]
Topological Methods in Nonlinear Analysis, 2015 A second-order impulsive differential inclusion with Sturm-Liouville boundary conditions is studied. By using a nonsmooth version of a three critical point theorem of Ricceri, the existence of three solutions is obtained.
Tian, Yu +3 more
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Compactness via monotonicity in nonsmooth critical point theory, with application to Born–Infeld type equations [PDF]
Journal of Functional Analysis59 pages.
Byeon, Jaeyoung +3 more
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“Two Nontrivial Critical Points for Nonsmooth Functionals via Local Linking and Applications”
Journal of Global Optimization, 2006 Δημοσίευση σε επιστημονικό περιοδικόSummarization: In this paper, we extend to nonsmooth locally Lipschitz functionals the multiplicity result of Brezis–Nirenberg (Communication Pure Applied Mathematics and 44 (1991)) based on a local linking condition ...
Nikolaos S. Papageorgiou +1 more
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EXISTENCE OF SOLUTION FOR A FRACTIONAL DIFFERENTIAL INCLUSION VIA NONSMOOTH CRITICAL POINT THEORY
Korean Journal of Mathematics, 2015 Summary: This paper is concerned with the existence of solutions to the following fractional differential inclusion \[\begin{cases} -\frac{d}{dx}\left(p {}_0D_x^{-\beta}(u'(x))+q {}_xD_1^{-\beta}(u'(x))\right)\in \partial F_u(x,u),\qquad x\in (0,1),\\ u(0)=u(1)=0,\end{cases}\] where \({}_0D_x^{-\beta}\) and \({}_xD_1^{-\beta}\) are left and right ...
Yang, Bian-Xia, Sun, Hong-Rui
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Taiwanese Journal of Mathematics, 2015 In this paper, we study a class of differential inclusion problems driven by the $p(x)$-Kirchhoff with non-standard growth depending on a real parameter. Working within the framework of variable exponent spaces, a new existence result of at least three solutions for the considered problem is established by using the nonsmooth version three critical ...
Duan, Lian, Huang, Lihong, Cai, Zuowei
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Data-Driven and Physics-Informed Modeling Perspectives for Soft Manipulators: From SINDy to Hybrid Intelligence. [PDF]
Adv Sci (Weinh)This Perspective charts the modeling landscape for soft manipulators, spanning sparse system identification, neural dynamics, physics‐informed models and hybrid intelligence. We examine how physics, data, sensing, adaptation and control can assume complementary roles within this landscape, and provide a framework for selecting modeling approaches ...
Hui W, Wang Y, Zhang T, Chen Y, Pan M.
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Variance-Guided Regression for Heteroscedastic Data With a Grouping-Based Extension for Nonlinear Prediction. [PDF]
Stat MedABSTRACT Although homoscedasticity is often assumed in linear regression, real data may show variance patterns or residual structures that violate this assumption. We propose VarGuid, a variance‐guided framework for two related settings: Covariate‐dependent conditional variance under a global linear mean model, and residual nonlinear mean structure ...
Liu S, Lu M.
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Valid Data‐Driven Subgroup Selection With Uniform Guarantees in Clinical Trials [PDF]
Stat MedABSTRACT Subgroup selection in clinical trials is essential for identifying patient groups that react differently to a treatment, thereby enabling personalized medicine. In particular, subgroup selection can identify patient groups that respond particularly well to a treatment or that encounter adverse events more often.
Müller M +9 more
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Variational Methods for Nonsmooth Mechanics [PDF]
, 2003 In this thesis we investigate nonsmooth classical and continuum mechanics and its discretizations by means of variational numerical and geometric methods.
Fetecau, Razvan Constantin
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