Existence of solutions to a class of $p$-Kirchhoff equations via Morse theory (Q2028554)

scientific article; zbMATH DE number 7353304

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English	Existence of solutions to a class of $p$-Kirchhoff equations via Morse theory	scientific article; zbMATH DE number 7353304

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instance of

scholarly article

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title

Existence of solutions to a class of $p$-Kirchhoff equations via Morse theory (English)

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Mediterranean Journal of Mathematics

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publication date

1 June 2021

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zbMATH Keywords

$p$-Kirchhoff equations

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Dirichlet condition

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existence of solutions

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s00009-021-01749-x

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cites work

Q4189540

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Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in $\mathbb R^N$

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Existence and multiplicity of non-trivial solutions for Schrödinger-Kirchhoff-type equations with radial potential

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Infinitely many radial solutions for Kirchhoff-type problems in $\mathbb{R}^N$

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Existence of a positive solution to Kirchhoff-type problems without compactness conditions

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Multiplicity and concentration behaviour of positive solutions for Schrödinger-Kirchhoff type equations involving the $p$-Laplacian in $\mathbb{R}^N$

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The existence of nontrivial solutions for $\boldsymbol{p}$-Kirchhoff type equations with critical exponent in $\boldsymbol{\mathbb{R}^{N}}$

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The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions

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Existence and multiplicity results for a $p$-Kirchhoff equation with a concave-convex term

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Existence and multiplicity of solutions for Kirchhoff type equations

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Q3437758

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Multiple nontrivial solutions to a $p$-Kirchhoff equation

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On a $p$-Kirchhoff equation via Krasnoselskii's genus

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Existence and multiplicity of solutions for critical Kirchhoff-type $p$-Laplacian problems

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Q5247847

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Infinitely many solutions for fractional $p$-Kirchhoff equations

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Multiplicity of solutions for a $p$-Kirchhoff equation

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Multiplicity of solutions for elliptic problems of $p$-Kirchhoff type with critical exponent

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Multiple solutions for a class of Kirchhoff type problems with concave nonlinearity

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Morse theory on Banach manifolds

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Multiple positive solutions for a critical quasilinear equation via Morse theory

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On the multiplicity of positive solutions for $p$-Laplace equations via Morse theory

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On the critical polynomial of functionals related to $p$-area (for $1 < p < \infty$) and $p$-Laplace $(1 < p\leq2)$ type operators

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Amann-Zehnder type results for $p$-Laplace problems

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The Brezis-Nirenberg type problem for the $p$-Laplacian $(1 < p < 2)$: multiple positive solutions

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Notes on the bifurcation theorem

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Infinite dimensional Morse theory and multiple solution problems

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Methods in Nonlinear Analysis

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Some qualitative results of the critical groups for the $p$-Laplacian equations

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Multiple solutions for the p-Laplacian equations with concave nonlinearities via Morse theory

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Existence of solutions to a class of Kirchhoff-type equation with a general subcritical nonlinearity

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Existence and multiplicity results for Dirichlet problems with $p$-Laplacian.

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Remarks on multiple nontrivial solutions for quasi-linear resonant problems

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Critical groups and multiple solutions of the $p$-Laplacian equations

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Nontrivial critical groups in $p$-Laplacian problems via the Yang index

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Identifiers

zbMATH Open document ID

1466.35197

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Mathematics Subject Classification ID

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10.1007/S00009-021-01749-X

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Sitelinks

Mathematics(1 entry)

mardi Publication:2028554

Existence of solutions to a class of \(p\)-Kirchhoff equations via Morse theory (Q2028554)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)