Ground state and bounded state solutions for a critical stationary Maxwell system arising in electromagnetism

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Blow-up and finite time extinction for $p(x,t)$-curl systems arising in electromagnetism
A class of electromagnetic $p$-curl systems: blow-up and finite time extinction
Ground states of time-harmonic semilinear Maxwell equations in $\mathbb R^3$ with vanishing permittivity
Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity
Lebesgue and Sobolev spaces with variable exponents
Multiplicity of solutions for $p(x)$-polyharmonic elliptic Kirchhoff equations
Existence and multiplicity of solutions for $p(x)$-curl systems arising in electromagnetism
Existence of solutions for systems arising in electromagnetism
On Lavrentiev's phenomenon
On the modeling of electrorheological materials
Double phase problems with variable growth
On the variational principle
Multiplicity of solutions for a Kirchhoff equation with subcritical or critical growth.
Existence of two solutions for $p(x)$-curl systems with a small perturbation
A Sobolev-type inequality for the curl operator and ground states for the curl-curl equation with critical Sobolev exponent
On symmetric solutions for $(p, q)$-Laplacian equations in $\mathbb{R}^N$ with critical terms
Solutions for nonhomogeneous fractional $(p, q)$-Laplacian systems with critical nonlinearities
Anisotropic singular Neumann equations with unbalanced growth
Variational analysis for nonlocal Yamabe-type systems
Multiplicity results for $(p, q)$-Laplacian equations with critical exponent in $\mathbb{R}^N$ and negative energy
Ground and bound state solutions of semilinear time-harmonic Maxwell equations in a bounded domain
Dual variational methods in critical point theory and applications
Existence results for Schrödinger-Choquard-Kirchhoff equations involving the fractional $p$-Laplacian
Nonlinear elliptic equations with variable exponent: old and new
Combined concave-convex effects in anisotropic elliptic equations with variable exponent
Existence of solutions for $p(x)$-Laplacian problems on a bounded domain
Ground state solutions for semilinear time-harmonic Maxwell equations
Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
A CLASS OF STATIONARY NONLINEAR MAXWELL SYSTEMS
AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
Isotropic and anisotropic double-phase problems: old and new
Partial Differential Equations with Variable Exponents
Existence and nonexistence of solutions for p(x)-curl systems arising in electromagnetism
Variable Exponent, Linear Growth Functionals in Image Restoration
On the spaces $L^{p(x)}(\Omega)$ and $W^{m,p(x)}(\Omega)$
Multiple solutions for p(x)${p(x)}$‐curl systems with nonlinear boundary condition
Solutions with sign information for noncoercive double phase equations
Existence and stability of normalized solutions for nonlocal double phase problems
Multiplicity of semiclassical solutions for a class of nonlinear Hamiltonian elliptic system