Least energy nodal solution for quasilinear biharmonic equations with critical exponent in \(\mathbb{R}^N\)
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Publication:494555
DOI10.1016/j.aml.2015.03.002zbMath1322.35017OpenAlexW2010039781MaRDI QIDQ494555
Publication date: 1 September 2015
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2015.03.002
Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Variational methods for higher-order elliptic equations (35J35)
Related Items (14)
Existence of nontrivial solutions for a class of biharmonic equations with singular potential in \(\mathbb{R}^{N}\) ⋮ Sign-changing solutions for fourth order elliptic equations with Kirchhoff-type ⋮ Multiple solutions for a class of nonhomogeneous fourth-order quasilinear equations with nonlinearities ⋮ Infinitely many sign-changing solutions for a class of biharmonic equation with \(p\)-Laplacian and Neumann boundary condition ⋮ Least energy sign-changing solutions for nonlinear Schrödinger equations with indefinite-sign and vanishing potential ⋮ Nontrivial solutions of modified nonlinear fourth-order elliptic equation in \(\mathbb{R}^N\) ⋮ Existence and concentration of a nonlinear biharmonic equation with sign-changing potentials and indefinite nonlinearity ⋮ Existence of nontrivial solutions for modified nonlinear fourth-order elliptic equations with indefinite potential ⋮ Nontrivial solutions and least energy nodal solutions for a class of fourth-order elliptic equations ⋮ Ground state solutions for fourth order Schrödinger equations involving \(u \Delta (u^2)\) and variable potentials ⋮ Ground state solution for a fourth-order nonlinear elliptic problem with logarithmic nonlinearity ⋮ Multiple solutions for a nonlinear Schrödinger-Poisson system with sign-changing potential ⋮ High energy solutions of modified quasilinear fourth-order elliptic equations with sign-changing potential ⋮ Ground states solutions for modified fourth-order elliptic systems with steep well potential
Cites Work
- Existence and multiplicity of nontrivial solutions for a class of modified nonlinear fourth-order elliptic equations on \(\mathbb{R}^N\)
- Existence and multiplicity of solutions for a class of \(p(x)\)-biharmonic equations
- Existence and multiplicity of solutions for a class of fourth-order elliptic equations in \(R^N\)
- Infinitely many solutions for fourth-order elliptic equations with sign-changing potential
- Infinitely many nontrivial solutions for a class of biharmonic equations via variant Fountain theorems
- Multiple nontrivial solutions for some fourth-order semilinear elliptic problems
- Positivity preserving property for a class of biharmonic elliptic problems
- Multiple and sign-changing solutions for a class of semilinear biharmonic equation
- Sign-changing solutions for \(p\)-biharmonic equations with Hardy potential
- Existence and multiplicity of solutions for fourth-order elliptic equations in \(\mathbb R^N\)
- Existence result for a class of biharmonic equations with critical growth and singular potential in \(\mathbb R^N\)
- Nehari-type ground state solutions for Schrödinger equations including critical exponent
- On a class of Kirchhoff type problems
- Sign-changing solutions for some fourth-order nonlinear elliptic problems
- Three nodal solutions of singularly perturbed elliptic equations on domains without topology
- GROUND STATE SOLUTIONS FOR -SUPERLINEAR -LAPLACIAN EQUATIONS
- New Super-quadratic Conditions on Ground State Solutions for Superlinear Schrödinger Equation
- Solutions for Quasilinear Schrödinger Equations via the Nehari Method
- Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
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