Results 11 to 20 of about 14,259 (205)
On a Class of Quasilinear Elliptic Equations
Communications in Mathematical Research, 2023 Summary: We consider a class of quasilinear elliptic boundary problems, including the following Modified Nonlinear Schrödinger Equation as a special case: \[ \begin{cases} \Delta u+ \frac{1}{2} u \Delta (u^2) -V(x) u+|u|^{q -2} u=0\quad &\text{in } \Omega, \\ u=0\quad &\text{on }\partial \Omega, \end{cases} \] where \(\Omega\) is the entire space ...
Hashimi, Sayed Hamid +2 more
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Quasilinear Equations via Elliptic Regularization Method
Advanced Nonlinear Studies, 2013 Abstract In this paper we study a class of quasilinear problems, in particular we deal with multiple sign-changing solutions of quasilinear elliptic equations. We further develop an approach used in our earlier work by exploring elliptic regularization. The method works well in studying multiplicity and nodal property of solutions.
Liu, Jia-Quan +2 more
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3-D axisymmetric subsonic flows with nonzero swirl for the compressible Euler-Poisson system [PDF]
, 2016 We address the structural stability of 3-D axisymmetric subsonic flows with nonzero swirl for the steady compressible Euler-Poisson system in a cylinder supplemented with non small boundary data. A special Helmholtz decomposition of the velocity field is
Bae, Myoungjean, Weng, Shangkun
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Quasilinear elliptic equations with VMO coefficients [PDF]
Transactions of the American Mathematical Society, 1995 Strong solvability and uniqueness in Sobolev space W 2 , n ( Ω ) {W^{2,n}}(\Omega ) are proved for the Dirichlet problem \[ { u =
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Harnack inequality and regularity for degenerate quasilinear elliptic equations [PDF]
, 2009 We prove Harnack inequality and local regularity results for weak solutions of a quasilinear degenerate equation in divergence form under natural growth conditions. The degeneracy is given by a suitable power of a strong $A_\infty$ weight.
B. Franchi +20 more
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Some regularity results for anisotropic motion of fronts [PDF]
, 2002 We study the regularity of propagating fronts whose motion is anisotropic. We prove that there is at most one normal direction at each point of the front; as an application, we prove that convex fronts are C^{1,1}.
Imbert, Cyril
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On singular quasilinear elliptic equations with data measures
Advances in Nonlinear Analysis, 2021 The aim of this work is to study a quasilinear elliptic equation with singular nonlinearity and data measure. Existence and non-existence results are obtained under necessary or sufficient conditions on the data, where the main ingredient is the ...
Alaa Nour Eddine +2 more
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Quasilinear Elliptic Equations with Singular Nonlinearity
Advanced Nonlinear Studies, 2016 Abstract In this paper, motivated by recent works on the study of the equations which model electrostatic MEMS devices, we study the quasilinear elliptic equation (Pλ) {
João Marcos do Ó, Esteban da Silva
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CONCAVITY, QUASICONCAVITY, AND QUASILINEAR ELLIPTIC EQUATIONS [PDF]
Taiwanese Journal of Mathematics, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quasilinear elliptic Hamilton–Jacobi equations on complete manifolds [PDF]
Comptes Rendus. Mathématique, 2013 Let (Mn,g) be an n-dimensional complete, non-compact and connected Riemannian manifold, with Ricci tensor Riccg and sectional curvature Secg. Assume Riccg⩾(1−n)B2, and either p>2 and Secg(x)=o(dist2(x,a)) when dist2(x,a)→∞ for a∈M, or 1<p<2 and Secg(x)⩽0.
Bidaut-Veron, Marie-Francoise +2 more
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