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Nontrivial solutions for a class of semilinear biharmonic problems involving critical exponents - MaRDI portal

Nontrivial solutions for a class of semilinear biharmonic problems involving critical exponents (Q5945658)

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scientific article; zbMATH DE number 1657348

Language	Label	Description	Also known as
English	Nontrivial solutions for a class of semilinear biharmonic problems involving critical exponents	scientific article; zbMATH DE number 1657348

Statements

scholarly article

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Nontrivial solutions for a class of semilinear biharmonic problems involving critical exponents (English)

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Claudianor Oliveira Alves

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João Marcos Bezerra do Ó

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Olímpio Hiroshi Miyagaki

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Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods

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publication date

23 April 2003

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zbMATH Keywords

Elliptic problems

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Biharmonic operator

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Critical growth

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Variational methods

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Mountain-pass theorem

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MaRDI profile type

MaRDI publication profile

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Nonlinear perturbations of a periodic elliptic problem with critical growth.

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A note on the problem \(-\Delta u=\lambda u+u\,| u| ^{2^*-2}\)

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Multiplicity results for some nonlinear elliptic equations

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Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\)

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Extrema problems with critical sobolev exponents on unbounded domains

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Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order

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Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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Multiple solutions for nonhomogeneous elliptic equations involving critical Sobolev exponent

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An existence result for nonliner elliptic problems involving critical Sobolev exponent

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Radial solutions of elliptic equations with critical exponents in \({\mathbb{R}}^ N\).

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Homoclinic type solutions for a semilinear elliptic PDE on ℝ<sup>n</sup>

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On the existence of positive entire solutions of a semilinear elliptic equation

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Critical exponents, critical dimensions and the biharmonic operator

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Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term

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The concentration-compactness principle in the calculus of variations. The locally compact case. II

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The concentration-compactness principle in the calculus of variations. The limit case. I

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Critical point theory and Hamiltonian systems

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Multiplicity results for a class of semilinear elliptic equations on \(\mathbb{R}^ m\)

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Critical semilinear biharmonic equations in R<sup>N</sup>

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Quasilinear elliptic problems with critical exponents

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Positive solutions of the elliptic equation \(\Delta u + u^{(n+2)/(n-2)} + K(x) u^ q =0\) in \(\mathbb{R}^ n\) and in balls

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Critical exponents and critical dimensions of polyharmonic operators

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full work available at URL

https://doi.org/10.1016/s0362-546x(99)00449-6

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Identifiers

zbMATH Open document ID

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10.1016/S0362-546X(99)00449-6

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5945658

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