Results 81 to 90 of about 511,067 (272)
Positive Solutions of Elliptic Kirchhoff Equations
Advanced Nonlinear Studies, 2017 We prove several existence results for some nonlinear elliptic Kirchhoff equations.
Ambrosetti Antonio, Arcoya David
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Solvability of nonlinear elliptic equations with gradient terms
Journal of Differential Equations, 2013 We study the solvability in the whole Euclidean space of coercive quasi-linear and fully nonlinear elliptic equations modeled on $ u\pm g(|\nabla u|)= f(u)$, $u\ge0$, where $f$ and $g$ are increasing continuous functions. We give conditions on $f$ and $g$ which guarantee the availability or the absence of positive solutions of such equations in $\R^N$.
Felmer, Patricio +2 more
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Multiscale Finite Element Methods for Nonlinear Problems and their Applications [PDF]
, 2004 In this paper we propose a generalization of multiscale finite element methods (Ms-FEM) to nonlinear problems. We study the convergence of the proposed method for nonlinear elliptic equations and propose an oversampling technique.
Efendiev, Y., Ginting, V., Hou, T. Y.
core
A nonlinear elliptic equation with singular potential and applications to nonlinear field equations
Journal of the European Mathematical Society, 2007 We study existence and asymptotic properties of solutions to a semilinear elliptic equation in the whole space. The equation has a cylindrical symmetry and we find cylindrical solutions. The main features of the problem are that the potential has a large set of singularities (i.e. a subspace), and that the nonlinearity has a double power-like behaviour,
BADIALE, Marino, V. Benci, S. Rolando
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Uniqueness for Neumann problems for nonlinear elliptic equations
Communications on Pure & Applied Analysis, 2019 In the present paper we prove uniqueness results for solutions to a class of Neumann boundary value problems whose prototype is --div((1 + |$\nabla$u| 2) (p--2)/2 $\nabla$u) -- div(c(x)|u| p--2 u) = f in $ $, (1 + |$\nabla$u| 2) (p--2)/2 $\nabla$u + c(x)|u| p--2 u $\times$ n = 0 on $\partial$$ $,
Maria Francesca Betta +2 more
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Electronic Journal of Differential Equations, 2000 solutions to nonlinear equations and to (non)resonant semilinear equations involving nonlinear perturbations of Fredholm maps of index zero. We apply our results to semilinear elliptic, and to semilinear parabolic and hyperbolic periodic boundary-value ...
P. S. Milojevic
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Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we show the existence of solutions for the nonlinear elliptic equations of the ...
Bourahma M., Bennouna J., El Moumni M.
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Calculus of Variations and Partial Differential Equations, 2019 In this paper, we study a nonlinear Dirichlet problem of p-Laplacian type with combined effects of nonlinear singular and convection terms. An existence theorem for positive solutions is established as well as the compactness of solution set.
Zhenhai Liu, D. Motreanu, Shengda Zeng
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Nonlinear elliptic equations with subhomogeneous potentials
Nonlinear Analysis: Theory, Methods & Applications, 2010 Abstract We prove the existence of nonnegative symmetric solutions to the semilinear elliptic equation − △ u + V ( | y 1 | , … , | y k | ) u = g ( u ) in R N where x = ( z , y 1 , … , y k ) ∈ R N 0 × R N 1 × ⋯ × R N
BADIALE, Marino, S. Rolando
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Continuity of solutions of a nonlinear elliptic equation [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2012 We consider a nonlinear elliptic equation of the form div [a (∇u )] + F [u ] = 0 on a domain Ω, subject to a Dirichlet boundary condition tru = φ . We do not assume that the higher order term a satisfies growth conditions from above. We prove the existence of continuous solutions either when Ω is convex and φ satisfies a one-sided bounded slope ...
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