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Multiplicity of nontrivial solutions to a biharmonic equation via Lusternik–Schnirelman theory - MaRDI portal

Multiplicity of nontrivial solutions to a biharmonic equation via Lusternik–Schnirelman theory (Q4917319)

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scientific article; zbMATH DE number 6159267

Language	Label	Description	Also known as
English	Multiplicity of nontrivial solutions to a biharmonic equation via Lusternik–Schnirelman theory	scientific article; zbMATH DE number 6159267

Statements

scholarly article

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Multiplicity of nontrivial solutions to a biharmonic equation via Lusternik–Schnirelman theory (English)

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Giovany M. Figueiredo

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Claudianor Oliveira Alves

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Mathematical Methods in the Applied Sciences

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publication date

29 April 2013

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zbMATH Keywords

biharmonic equation

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multiple solutions

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Lusternik-Schnirelman theory

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/mma.2618

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

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A Sobolev inequality with remainder term and critical equations on domains with topology for the polyharmonic operator

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Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains

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Critical growth problems for polyharmonic operators

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Existence and nonexistence results for critical growth biharmonic elliptic equations

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Brezis-Nirenberg Problem and Coron Problem for Polyharmonic Operators

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A critical elliptic problem for polyharmonic operators

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Critical exponents and critical dimensions of polyharmonic operators

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Nontrivial solution for a class of semilinear biharmonic equation involving critical exponents

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Existence and Multiplicity of Solution for a Class of Quasilinear Equations

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Multiplicity of positive solutions to a \(p\)-Laplacian equation involving critical nonlinearity.

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On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain

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The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems

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Positive solutions of some nonlinear elliptic problems in exterior domains

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Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology

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Existence and multiplicity of positive solutions for nonlinear elliptic problems in exterior domains with “rich” topology

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On a class of nonlinear Schrödinger equations

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Critical exponents, critical dimensions and the biharmonic operator

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Optimal Sobolev and Hardy-Rellich constants under Navier boundary conditions

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

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Identifiers

zbMATH Open document ID

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10.1002/mma.2618

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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:4917319

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