Existence of solutions for a higher order Kirchhoff type problem with exponential critical growth
From MaRDI portal
Publication:900899
DOI10.1016/j.na.2015.11.014zbMath1331.35120arXiv1507.05280OpenAlexW2964030126MaRDI QIDQ900899
Publication date: 23 December 2015
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.05280
Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Variational methods for higher-order elliptic equations (35J35)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Existence and concentration result for the Kirchhoff type equations with general nonlinearities
- Existence of a positive solution to Kirchhoff-type problems without compactness conditions
- The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions
- Multiplicity of solutions for \(p(x)\)-polyharmonic elliptic Kirchhoff equations
- Exponential problem on a compact Riemannian manifold without boundary
- Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
- Adams type inequalities and related elliptic partial differential equations in dimension four
- Existence of positive solutions to quasi-linear elliptic equations with exponential growth in the whole Euclidean space
- Existence and multiplicity of solutions to equations of \(N\)-Laplacian type with critical exponential growth in \(\mathbb R^N\)
- A uniqueness result for a nonlocal equation of Kirchhoff type and some related open problem
- Nontrivial solutions of Kirchhoff-type problems via the Yang index
- Existence results of positive solutions of Kirchhoff type problems
- Existence of solutions to nonlinear, subcritical higher order elliptic Dirichlet problems
- On a quasilinear nonhomogeneous elliptic equation with critical growth in \(\mathbb R^N\)
- On a class of nonlinear Schrödinger equations
- Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
- Existence and nonexistence results for critical growth biharmonic elliptic equations
- Min-max level estimate for a singular quasilinear polyharmonic equation in \(\mathbb R^{2m}\)
- Multiple solutions for the nonhomogeneous Kirchhoff equation on \(\mathbb R^N\)
- Multiple solutions for \(N\)-Kirchhoff type problems with critical exponential growth in \(\mathbb{R}^N\)
- Positive and negative solutions for a class of Kirchhoff type problems on unbounded domain
- A class of Adams-Fontana type inequalities and related functionals on manifolds
- A new result on high energy solutions for Schrödinger-Kirchhoff type equations in \(\mathbb R^N\)
- Existence of solutions for Kirchhoff type problems with critical nonlinearity in \(\mathbb R^N\)
- Multiple positive solutions to a class of Kirchhoff equation on \(\mathbb R^3\) with indefinite nonlinearity
- Positive solutions to Kirchhoff type equations with nonlinearity having prescribed asymptotic behavior
- The critical problem of Kirchhoff type elliptic equations in dimension four
- Positive solutions for a quasilinear elliptic equation of Kirchhoff type
- Positive solution for a superlinear Kirchhoff type problem with a parameter
- Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
- On an inequality by N. Trudinger and J. Moser and related elliptic equations
- On semilinear Neumann problems with critical growth for the n-Laplacian
- A Multiplicity Result for a Singular and Nonhomogeneous Elliptic Problem in R<sup>n</sup>
- Multiple solutions for Kirchhoff-type equations in $\mathbb {R}^N$RN