Results 31 to 40 of about 533 (68)
The Soap Bubble Theorem and a $p$-Laplacian overdetermined problem [PDF]
, 2019 We consider the $p$-Laplacian equation $-\Delta_p u=1$ for ...
Colasuonno, Francesca, Ferrari, Fausto
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, 2018 In this paper boundary regularity for p-harmonic functions is studied with respect to the Mazurkiewicz boundary and other compactifications. In particular, the Kellogg property (which says that the set of irregular boundary points has capacity zero) is ...
Björn, Anders
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A shape optimization problem for Steklov eigenvalues in oscillating domains [PDF]
, 2015 In this paper we study the asymptotic behavior of some optimal design problems related to nonlinear Steklov eigenvalues, under irregular (but diffeomorphic) perturbations of the domain.Comment: Some typos ...
Bonder, Julián Fernández +1 more
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Positive solutions for nonvariational Robin problems
, 2018 We study a nonlinear Robin problem driven by the $p$-Laplacian and with a reaction term depending on the gradient (the convection term). Using the theory of nonlinear operators of monotone-type and the asymptotic analysis of a suitable perturbation of ...
Papageorgiou, Nikolaos S. +2 more
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Gradient and Lipschitz estimates for tug-of-war type games
, 2020 We define a random step size tug-of-war game, and show that the gradient of a value function exists almost everywhere. We also prove that the gradients of value functions are uniformly bounded and converge weakly to the gradient of the corresponding $p ...
Attouchi, Amal +2 more
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Stability of eigenvalues for variable exponent problems
, 2015 In the framework of variable exponent Sobolev spaces, we prove that the variational eigenvalues defined by inf sup procedures of Rayleigh ratios for the Luxemburg norms are all stable under uniform convergence of the exponents.Comment: 10 ...
Colasuonno, Francesca, Squassina, Marco
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Singular quasilinear elliptic systems in $\mathbb{R}^N$
, 2018 The existence of positive weak solutions to a singular quasilinear elliptic system in the whole space is established via suitable a priori estimates and Schauder's fixed point ...
Marano, S. A., Marino, G., Moussaoui, A.
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Normalized solutions for the double-phase problem with nonlocal reaction
Advances in Nonlinear AnalysisIn this article, we consider the double-phase problem with nonlocal reaction. For the autonomous case, we introduce the methods of the Pohozaev manifold, Hardy-Littlewood Sobolev subcritical approximation, adding the mass term to prove the existence and ...
Cai Li, Zhang Fubao
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Existence results for double-phase problems via Morse theory
, 2016 We obtain nontrivial solutions for a class of double-phase problems using Morse theory. In the absence of a direct sum decomposition, we use a cohomological local splitting to get an estimate of the critical groups at zero.Comment: 11 ...
Perera, Kanishka, Squassina, Marco
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Advanced Nonlinear Studies, 2021 The main purpose of this paper is to establish the existence of ground-state solutions to a class of Schrödinger equations with critical exponential growth involving the nonnegative, possibly degenerate, potential V:
Chen Lu, Lu Guozhen, Zhu Maochun
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