Nontrivial solutions of semilinear elliptic systems in .

Yang, Jianfu

Displaying similar documents to “Nontrivial solutions of semilinear elliptic systems in $ℝ^{n}$ .”

Some properties of Palais-Smale sequences with applications to elliptic boundary-value problems.

Chen, Chao-Nien, Tzeng, Shyuh-yaur (1999)

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

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Critical singular problems on unbounded domains.

de Morais Filho, D.C., Miyagaki, O.H. (2005)

Abstract and Applied Analysis

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On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growth.

Souto, Marco A. S. (2002)

Abstract and Applied Analysis

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A positive solution for an asymptotically linear elliptic problem on $ℝ^{N}$ autonomous at infinity

Louis Jeanjean, Kazunaga Tanaka (2002)

ESAIM: Control, Optimisation and Calculus of Variations

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In this paper we establish the existence of a positive solution for an asymptotically linear elliptic problem on $ℝ^{N}$ . The main difficulties to overcome are the lack of a priori bounds for Palais–Smale sequences and a lack of compactness as the domain is unbounded. For the first one we make use of techniques introduced by Lions in his work on concentration compactness. For the second we show how the fact that the “Problem at infinity” is autonomous, in contrast to just periodic, can be...

Existence of solutions for a class of elliptic systems in $ℝ^{N}$ involving the $(p (x), q (x))$ -Laplacian.

Ogras, S., Mashiyev, R.A., Avci, M., Yucedag, Z. (2008)

Journal of Inequalities and Applications [electronic only]

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Multiplicity of solutions for gradient systems using Landesman-Lazer conditions.

da Silva, Edcarlos D. (2010)

Abstract and Applied Analysis

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Spatially heteroclinic solutions for a semilinear elliptic P.D.E.

Paul H. Rabinowitz (2002)

ESAIM: Control, Optimisation and Calculus of Variations

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This paper uses minimization methods and renormalized functionals to find spatially heteroclinic solutions for some classes of semilinear elliptic partial differential equations

Weak linking theorems and Schrödinger equations with critical Sobolev exponent

Martin Schechter, Wenming Zou (2003)

ESAIM: Control, Optimisation and Calculus of Variations

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In this paper we establish a variant and generalized weak linking theorem, which contains more delicate result and insures the existence of bounded Palais–Smale sequences of a strongly indefinite functional. The abstract result will be used to study the semilinear Schrödinger equation $- Δ u + V (x) u = {K (x) | u |}^{2^{*} - 2} u + g (x, u), u \in W^{1, 2} (𝐑^{N})$ , where $N \geq 4; V, K, g$ are periodic in $x_{j}$ for $1 \leq j \leq N$ and 0 is in a gap of the spectrum of $- Δ + V$ ; $K > 0$ . If $0 < g (x, u) u \leq {c | u |}^{2^{*}}$ for an appropriate constant $c$ , we show that this equation has a nontrivial solution.

Asymptotic analysis, in a thin multidomain, of minimizing maps with values in $S^{2}$

Antonio Gaudiello, Rejeb Hadiji (2009)

Annales de l'I.H.P. Analyse non linéaire

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Displaying similar documents to “Nontrivial solutions of semilinear elliptic systems in ℝ n .”

Displaying similar documents to “Nontrivial solutions of semilinear elliptic systems in $ℝ^{n}$ .”