Multiplicity results for ground state solutions of a semilinear equation via abrupt changes in magnitude of the nonlinearity (Q6039825)

scientific article; zbMATH DE number 7688172

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English	Multiplicity results for ground state solutions of a semilinear equation via abrupt changes in magnitude of the nonlinearity	scientific article; zbMATH DE number 7688172

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instance of

scholarly article

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title

Multiplicity results for ground state solutions of a semilinear equation via abrupt changes in magnitude of the nonlinearity (English)

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author

Carmen Cortázar

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García-Huidobro, Marta

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Pilar Herreros

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published in

Discrete and Continuous Dynamical Systems

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publication date

23 May 2023

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full work available at URL

https://arxiv.org/abs/2210.03086

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zbMATH Keywords

semilinear equation with Laplacian

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existence of ground states

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MaRDI profile type

MaRDI publication profile

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cites work

Four positive solutions for the semilinear elliptic equation: \(-\Delta u+u=a(x) u^p +f(x)\) in \(\mathbb{R}^N\)

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Existence of positive solutions for a class of nonhomogeneous elliptic equations in \({\mathbb R}^N\)

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Infinitely many positive solutions for nonlinear equations with non-symmetric potentials

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Multiple positive solutions of nonhomogeneous semilinear elliptic equations in <i>ℝ<sup>N</sup></i>

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Infinitely Many Radially Symmetric Solutions to a Superlinear Dirichlet Problem in a Ball

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Infinitely many positive standing waves for Schrödinger equations with competing coefficients

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Multiplicity of positive and nodal solutions for scalar field equations

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Infinitely Many Positive Solutions to Some Scalar Field Equations with Nonsymmetric Coefficients

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On a semilinear elliptic problem in \(\mathbb{R}^ N\) with a non-Lipschitzian nonlinearity

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Uniqueness of positive solutions of \(\Delta u+f(u)=0\) in \(\mathbb{R}^N\), \(N\geqq 3\)

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Multiplicity results for sign changing bound state solutions of a semilinear equation

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On the uniqueness of sign changing bound state solutions of a semilinear equation

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Non-uniqueness of positive ground states of non-linear Schrödinger equations

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Intermediate reduction method and infinitely many positive solutions of nonlinear Schrödinger equations with non-symmetric potentials

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Uniqueness theorems for positive radial solutions of quasilinear elliptic equations in a ball

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Existence and uniqueness of nonnegative solutions of quasilinear equations in \(\mathbb{R}^ n\)

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Existence of ground states and free boundary problems for quasilinear elliptic operators

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Four positive solutions of semilinear elliptic equations involving concave and convex nonlinearities in \(\mathbb R^N\)

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Uniqueness of positive radial solutions of \(\Delta u+f(u)=0\) in \({\mathbb{R}}^ n\)

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Singular extremal solutions for supercritical elliptic equations in a ball

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Fundamental properties and asymptotic shapes of the singular and classical radial solutions for supercritical semilinear elliptic equations

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Infinitely many positive solutions of nonlinear Schrödinger equations

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Nonexistence theorems for singular solutions of quasilinear partial differential equations

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Uniqueness of positive solutions of semilinear equations in \(R^ n\).

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Uniqueness of non-negative solutions of semilinear equations in \({\mathbb{R}}^ n\)

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Q4221424

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Uniqueness of ground states for quasilinear elliptic equations

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Classification of positive solutions of quasilinear elliptic equations

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Normalized solutions for Schrödinger equations with critical Sobolev exponent and mixed nonlinearities

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Infinitely many positive solutions for the nonlinear Schrödinger equations in \(\mathbb R^N\)

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Identifiers

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mardi Publication:6039825