Results 21 to 30 of about 225 (63)
Advances in Nonlinear Analysis, 2019 Let Ω ⊂ ℝ2 be a bounded domain with smooth boundary and b(x) > 0 a smooth function defined on ∂Ω. We study the following Robin boundary value problem:
Zhang Yibin, Shi Lei
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Asymptotic properties of critical points for subcritical Trudinger-Moser functional
Advanced Nonlinear Studies, 2023 On a smooth bounded domain we study the Trudinger-Moser functional Eα(u)≔∫Ω(eαu2−1)dx,u∈H1(Ω){E}_{\alpha }\left(u):= \mathop{\int }\limits_{\Omega }({e}^{\alpha {u}^{2}}-1){\rm{d}}x,\hspace{1.0em}u\in {H}^{1}\left(\Omega ) for α∈(0,2π)\alpha \in \left(0 ...
Hashizume Masato
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Multiplicity of solutions to discrete inclusions with the p(k)-Laplace type equations
Nonautonomous Dynamical Systems, 2018 In this article, we prove the existence and multiplicity of solutions to discrete inclusions with the p(k)-Laplace type equations. We are interested in the existence of three solutions with the aid of linking arguments and using a three critical points ...
Ouaro Stanislas, Zoungrana Malick
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Euclidean Triangles Have No Hot Spots [PDF]
, 2018 We show that a second Neumann eigenfunction u of a Euclidean triangle has no critical points in the interior of the triangle.
arxiv +1 more source
On a class of critical $N$-Laplacian problems [PDF]
arXiv, 2021 We establish some existence results for a class of critical $N$-Laplacian problems in a bounded domain in ${\mathbb R}^N$. In the absence of a suitable direct sum decomposition, we use an abstract linking theorem based on the ${\mathbb Z}_2$-cohomological index to obtain a nontrivial critical point.
arxiv
Uniqueness of solutions to Boltzmann Equations [PDF]
arXiv, 2020 By means of Banach fixed point theorem , the uniqueness of Boltzmann Equation generalizaled Solutions in Sobolev spaces in $L^1(\mathbb{R}^+\times \mathbb{R}^n\times \mathbb{R}^n)$, can be proved as well as Boltzmann Equation renormalized solutions ...
arxiv
Multiple solutions for a weighted $p$-Laplacian problem [PDF]
EJDE-2022/CONF/26, 2022 We prove the existence of at least three solutions for a weighted $p$-Laplacian operator involving Dirichlet boundary condition in a weighted Sobolev space. The main tool we use here is a three solution theorem in reflexive Banach spaces due to G. Bonanno and B. Ricceri.
arxiv
New classes of $C^1$ robustly transitive maps with persistent critical points [PDF]
, 2019 We exhibit a new large class of $C^1$ open examples of robustly transitive maps displaying persistent critical points in the homotopy class of expanding endomorphisms acting on the two dimensional Torus and the Klein bottle.
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Improved regularity for a Hessian-dependent functional [PDF]
arXiv, 2023 We prove that minimizers of the $L^{d}$-norm of the Hessian in the unit ball of $\mathbb{R}^d$ are locally of class $C^{1,\alpha}$. Our findings extend previous results on Hessian-dependent functionals to the borderline case and resonate with the H\"older regularity theory available for elliptic equations in double-divergence form.
arxiv
Strong Maximum Principle for Some Quasilinear Dirichlet Problems Having Natural Growth Terms
Advanced Nonlinear Studies, 2020 In this paper, dedicated to Laurent Veron, we prove that the Strong Maximum Principle holds for solutions of some quasilinear elliptic equations having lower order terms with quadratic growth with respect to the gradient of the solution.
Boccardo Lucio, Orsina Luigi
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