Infinitely many solutions of strongly degenerate Schrödinger elliptic equations with vanishing potentials

Variational methods applied to PDEs (35A15) Degenerate elliptic equations (35J70) Second-order elliptic equations (35J15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)

Cites Work

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On semilinear \(\mathbf \Delta_\lambda\)-Laplace equation
Nontrivial solutions to boundary value problems for semilinear strongly degenerate elliptic differential equations
Compact embedding results of Sobolev spaces and existence of positive solutions to quasilinear equations
Multiple solutions of Schrödinger equations with indefinite linear part and super or asymptotically linear terms
Nonlinear Schrödinger equations with vanishing and decaying potentials.
Infinitely many solutions for \(\Delta _\alpha \)-Laplace equations with sign-changing potential
Existence of infinitely many solutions for semilinear degenerate Schrödinger equations
Existence of solutions for a class of nonlinear Schrödinger equations with potential vanishing at infinity
Infinitely many solutions for semilinear Schrödinger equations with sign-changing potential and nonlinearity
Existence of positive solutions of Schrödinger equations with vanishing potentials
Global attractor for a semilinear strongly degenerate parabolic equation on \(\mathbb R^N\)
Multiple solutions for semilinear \(\Delta_{\gamma}\)-differential equations in \(\mathbb{R}^N\) with sign-changing potential
Existence and non-existence of solutions to a Hamiltonian strongly degenerate elliptic system
Existence of solutions to Δ_λ-Laplace equations without the Ambrosetti–Rabinowitz condition
Infinitely many solutions for semilinear Δλ-Laplace equations with sign-changing potential and nonlinearity
On a class of Hamiltonian strongly degenerate elliptic systems with concave and convex nonlinearities
Multiple solutions for Grushin operator without odd nonlinearity
Hamiltonian systems of Schrödinger equations with vanishing potentials
Variational Methods in Nonlinear Field Equations
Liouville-type theorems for elliptic inequalities involving the Δ_λ-Laplace operator
Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity

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