Multiple solutions for the Chern-Simons-Schrödinger equation with indefinite nonlinearities in $\mathbb{R}^2$

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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Standing waves of nonlinear Schrödinger equations with the gauge field
A variational analysis of a gauged nonlinear Schrödinger equation
Multiple normalized solutions of Chern-Simons-Schrödinger system
Multiple positive solutions for a class of concave-convex elliptic problems in $\mathbb R^N$ involving sign-changing weight
On nonhomogeneous elliptic equations involving critical Sobolev exponent
Combined effects of concave and convex nonlinearities in some elliptic problems
The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
Multiplicity and concentration of positive solutions for fractional $p$-Laplacian problem involving concave-convex nonlinearity
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On the variational principle
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Sign-changing solutions to a gauged nonlinear Schrödinger equation
Positive energy static solutions for the Chern-Simons-Schrödinger system under a large-distance fall-off requirement on the gauge potentials
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Steep potential well may help Kirchhoff type equations to generate multiple solutions
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Boundary concentration of a gauged nonlinear Schrödinger equation on large balls
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Schrödinger equations with concave and convex nonlinearities
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Three positive solutions for the indefinite fractional Schrödinger-Poisson systems

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Multiple solutions for the Chern-Simons-Schrödinger equation with indefinite nonlinearities in \(\mathbb{R}^2\)