Local Well-Posedness of Skew Mean Curvature Flow for Small Data in d ≥ 4 Dimensions. [PDF]
Commun Math Phys, 2022 Huang J, Tataru D.
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Infinitely many solutions to quasilinear Schrödinger equations with critical exponent
Electronic Journal of Qualitative Theory of Differential Equations, 2019 This paper is concerned with the following quasilinear Schrödinger equations with critical exponent: \begin{equation*}\label{eqS0.1} - \Delta _p u+ V(x)|u|^{p-2}u - \Delta _p(|u|^{2\omega}) |u|^{2\omega-2}u = a k(x)|u|^{q-2}u+b |u|^{2\omega p^{*}-2}
Li Wang, Jixiu Wang, Xiongzheng Li
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Separable p-harmonic functions in a cone and related quasilinear equations on manifolds [PDF]
arXiv, 2007 In considering a class of quasilinear elliptic equations on a Riemannian manifold with nonnegative Ricci curvature, we give a new proof of Tolksdorf's result on the construction of separable $p$-harmonic functions in a cone.
arxiv
Long time solutions for quasilinear Hamiltonian perturbations of Schrödinger and Klein–Gordon equations on tori [PDF]
, 2023 Roberto Feola +2 more
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Quasilinear Schrödinger equations with general sublinear conditions
Electronic Journal of Qualitative Theory of Differential EquationsIn this paper, we study the quasilinear Schrödinger equations $$-\Delta u+V(x)u+\Delta(u^2)u = f(x, u),\qquad\forall x\in\mathbb{R}^N,$$ where $V\in C(\mathbb{R}^N;\mathbb{R})$ may change sign and $f$ is only locally defined for $|u|$ small.
Safa Bridaa +2 more
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On the Uniqueness of Schwarzschild-de Sitter Spacetime. [PDF]
Arch Ration Mech Anal, 2023 Borghini S, Chruściel PT, Mazzieri L.
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Symmetry of singular solutions of degenerate quasilinear elliptic equations [PDF]
Rend. Istit. Mat. Univ. Trieste 39 (2007), 2007 We prove radial symmetry of singular solutions to an overdetermined boundary value problem for a class of degenerate quasilinear elliptic equations.
arxiv
Towards the KPP-Problem and log t-Front shift for Higher-Order Nonlinear PDEs II. Quasilinear Bi- and Tri-Harmonic Equations [PDF]
arXiv, 2012 It is shows that some aspects of classic KPP-problem (1937) can be extended to some fourth and sixth-order quasilinear parabolic equations.
arxiv
$G$-invariant positive solutions for a quasilinear Schrödinger equation [PDF]
, 2011 Shinji Adachi, Tatsuya Watanabe
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