Results 11 to 20 of about 18,879 (188)
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
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Mathematics, 2021 Unravelling how the human brain structure gives rise to function is a central question in neuroscience and remains partially answered. Recent studies show that the graph Laplacian of the human brain’s structural connectivity (SC) plays a dominant role in
Jichao Ma +3 more
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Weak perturbations of the p-Laplacian [PDF]
Calculus of Variations and Partial Differential Equations, 2014 We consider the p-Laplacian in R^d perturbed by a weakly coupled potential. We calculate the asymptotic expansions of the lowest eigenvalue of such an operator in the weak coupling limit separately for p>d and p=d and discuss the connection with Sobolev interpolation inequalities.
Ekholm, Tomas +2 more
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Eigenvalues homogenization for the fractional p-Laplacian
Electronic Journal of Differential Equations, 2016 In this work we study the homogenization for eigenvalues of the fractional p-Laplace operator in a bounded domain both with Dirichlet and Neumann conditions. We obtain the convergence of eigenvalues and the explicit order of the convergence rates when
Ariel Martin Salort
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Applied Mathematics Letters, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Binding, P. A. +2 more
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On Critical p-Laplacian Systems
Advanced Nonlinear Studies, 2017 We consider the critical p-Laplacian ...
Guo Zhenyu, Perera Kanishka, Zou Wenming
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On the Fučí k spectrum for the $p$-Laplacian
Differential and Integral Equations, 2001 The structure of the set \(\{(\alpha, \beta) \in \mathbb R^2\): the problem \(-\Delta_p u = \alpha (u^+)^{p-1} - \beta (u^-)^{p-1}\) in \(\Omega\), \(u=0\) on \(\partial\Omega\) has a nontrivial solution\} is studied. See also \textit{N. Dancer} and \textit{K. Perera} [J. Math. Anal. Appl. 254, 164-177 (2001; Zbl 0970.35056)].
MICHELETTI, ANNA MARIA, A. PISTOIA
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On Coron's problem for the p-Laplacian
Journal of Mathematical Analysis and Applications, 2015 6 ...
Mercuri C., Sciunzi B., Squassina M.
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Oscillatory Property of Solutions for p(t)-Laplacian Equations
Journal of Inequalities and Applications, 2007 We consider the oscillatory property of the following p(t)-Laplacian equations −(|u'|p(t)−2u')'=1/tθ(t)g(t,u), t>0. Since there is no Picone-type identity for p(t)- Laplacian equations, it is an unsolved problem that whether the Sturmian ...
Qihu Zhang
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Weak solutions for p-Laplacian equation
Advances in Nonlinear Analysis, 2012 In this work we consider the p-Laplacian type parabolic equation with Dirichlet boundary condition and establish the existence of weak solutions using Leray–Schauder's fixed point theorem and semi-discretization process.
Bhuvaneswari Venkatasubramaniam +2 more
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