A symmetrization result for nonlinear elliptic equations.

Vincenzo Ferone; Basilio Messano

Displaying similar documents to “A symmetrization result for nonlinear elliptic equations.”

Positive solutions of nonlinear elliptic systems

Robert Dalmasso (1993)

Annales Polonici Mathematici

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We study the existence and nonexistence of positive solutions of nonlinear elliptic systems in an annulus with Dirichlet boundary conditions. In particular, $L^{\infty}$ a priori bounds are obtained. We also study a general multiple linear eigenvalue problem on a bounded domain.

A remark on uniqueness for quasilinear elliptic equations

N. André, M. Chipot (1996)

Banach Center Publications

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Mappings of finite distortion: composition operator.

Hencl, Stanislav, Koskela, Pekka (2008)

Annales Academiae Scientiarum Fennicae. Mathematica

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On a class of nonlinear ellipticequations in Hilbert spaces

Piotr Fijałkowski (1994)

Annales Polonici Mathematici

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We consider elliptic nonlinear equations in a separable Hilbert space and their solutions in spaces of Sobolev type.

Nonsymmetric solutions of a nonlinear boundary value problem

Sámuel Peres (2014)

Czechoslovak Mathematical Journal

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We study the existence and multiplicity of positive nonsymmetric and sign-changing nonantisymmetric solutions of a nonlinear second order ordinary differential equation with symmetric nonlinear boundary conditions, where both of the nonlinearities are of power type. The given problem has already been studied by other authors, but the number of its positive nonsymmetric and sign-changing nonantisymmetric solutions has been determined only under some technical conditions. It was a long-standing...

Existences and boundary behavior of boundary blow-up solutions to quasilinear elliptic systems with singular weights.

Tian, Qiaoyu, Huang, Shuibo (2009)

The Journal of Nonlinear Sciences and its Applications

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Elliptic perturbations for Hammerstein equations with singular nonlinear term.

Coclite, Giuseppe Maria, Coclite, Mario Michele (2006)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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On the dynamics of the generalized Emden-Fowler equation.

Cecchi, Mariella, Došlá, Zuzana, Marini, Mauro (2000)

Georgian Mathematical Journal

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Three methods for the study of semilinear equations at resonance

Bogdan Przeradzki (1993)

Colloquium Mathematicae

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Three methods for the study of the solvability of semilinear equations with noninvertible linear parts are compared: the alternative method, the continuation method of Mawhin and a new perturbation method [22]-[27]. Some extension of the last method and applications to differential equations in Banach spaces are presented.

Study of global solutions of parabolic equations via a priori estimates III. Equations of p-Laplacian type

Gary Lieberman (1996)

Banach Center Publications

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Difference method for an elliptic system of nonlinear differential-functional equations.

Mosurski, Ryszard (2005)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Some applications of minimax and topological degree to the study of the Dirichlet problem for elliptic partial differential equations

Leszek Gęba, Tadeusz Pruszko (1991)

Annales Polonici Mathematici

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This paper treats nonlinear elliptic boundary value problems of the form (1) L[u] = p(x,u) in $Ω \subset ℝ^{n}$ , $u = D u = . . . = D^{m - 1} u$ on ∂Ω in the Sobolev space $W_{0}^{m, 2} (Ω)$ , where L is any selfadjoint strongly elliptic linear differential operator of order 2m. Using both topological degree arguments and minimax methods we obtain existence and multiplicity results for the above problem.

On the solvability of nonlinear elliptic equations in Sobolev spaces

Piotr Fijałkowski (1992)

Annales Polonici Mathematici

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We consider the existence of solutions of the system (*) $P (D) u^{l} = F (x, (\partial^{α} u))$ , l = 1,...,k, $x \in ℝ^{n}$ $(u = (u ¹, . . ., u^{k}))$ in Sobolev spaces, where P is a positive elliptic polynomial and F is nonlinear.