Multiplicity results for biharmonic equations with critical growth

Boundary value problems for higher-order elliptic equations (35J40) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Bifurcations in context of PDEs (35B32)

Cites Work

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A note on nonlinear fourth-order elliptic equations on \(\mathbb R ^N\)
Infinitely many solutions for \(p\)-harmonic equation with singular term
Infinitely many solutions for a perturbed nonlinear Navier boundary value problem involving the \(p\)-biharmonic
Three solutions for a perturbed Navier problem
Infinitely many solutions for fourth-order elliptic equations with sign-changing potential
Two nontrivial solutions for the nonhomogenous fourth order Kirchhoff equation
High energy solutions and nontrivial solutions for fourth-order elliptic equations
Infinitely many nontrivial solutions for a class of biharmonic equations via variant Fountain theorems
Existence and multiplicity of solutions for fourth-order boundary value problems with param\-eters
The concentration-compactness principle in the calculus of variations. The limit case. II
Nonuniformly nonlinear elliptic equations of \(p\)-biharmonic type
Infinitely many sign-changing solutions for a class of biharmonic equation without symmetry
Functional analysis, Sobolev spaces and partial differential equations
On some fourth-order semilinear elliptic problems in \(\mathbb R^N\)
Multiplicity of solutions for quasilinear elliptic problems involving critical Sobolev exponents
Existence and multiplicity of solutions for fourth-order elliptic equations in \(\mathbb R^N\)
Dual variational methods in critical point theory and applications
Solutions for fourth order elliptic equations on \(\mathbb{R}^N\) involving \(u \Delta(u^{2})\) and sign-changing potentials
Three solutions for a Navier boundary value problem involving the \(p\)-biharmonic
Existence of three solutions to a double eigenvalue problem for the p-biharmonic equation
Ground states for a class of asymptotically linear fourth-order elliptic equations
Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
Multiplicity results for a fourth-order semilinear elliptic problem

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