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Displaying 21 – 40 of 65

Multi-peak solutions for magnetic NLS equations without non-degeneracy conditions

Silvia Cingolani, Louis Jeanjean, Simone Secchi (2008)

ESAIM: Control, Optimisation and Calculus of Variations

In this work we consider the magnetic NLS equation ${(\frac{ℏ}{i} \nabla - A (x))}^{2} u + V (x) u - {f (| u |}^{2}) u = 0 in ℝ^{N} (0.1)$ where $N \geq 3$ , $A : ℝ^{N} \to ℝ^{N}$ is a magnetic potential, possibly unbounded, $V : ℝ^{N} \to ℝ$ is a multi-well electric potential, which can vanish somewhere, f is a subcritical nonlinear term. We prove the existence of a semiclassical multi-peak solution $u : ℝ^{N} \to ℂ$ to (0.1), under conditions on the nonlinearity which are nearly optimal.

Multiple positive solutions for a class of concave-convex semilinear elliptic equations in unbounded domains with sign-changing weights.

Hsu, Tsing-San (2010)

Boundary Value Problems [electronic only]

Multiple positive solutions for singular elliptic equations with concave-convex nonlinearities and sign-changing weights.

Hsu, Tsing-San, Lin, Huei-Li (2009)

Boundary Value Problems [electronic only]

Currently displaying 21 – 40 of 65

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Displaying 21 – 40 of 65

Multi-peak solutions for magnetic NLS equations without non-degeneracy conditions

Multiple positive solutions for a class of concave-convex semilinear elliptic equations in unbounded domains with sign-changing weights.

Multiple positive solutions for a class of quasilinear elliptic boundary-value problems.

Multiple positive solutions for a critical quasilinear equation via Morse theory

Multiple positive solutions for a singular elliptic equation with Neumann boundary condition in two dimensions.

Multiple positive solutions for equations involving critical Sobolev exponent in $ℝ^{N}$ .

Multiple positive solutions for quasilinear elliptic problems with sign-changing nonlinearities.

Multiple positive solutions for singular elliptic equations with concave-convex nonlinearities and sign-changing weights.

Multiple positive solutions for singularly perturbed elliptic problems in exterior domains

Multiple positive solutions of nonhomogeneous elliptic equations in unbounded domains.

Multiple positive solutions of semilinear elliptic problems in exterior domains.

Multiple radially symmetric solutions for a quasilinear eigenvalue problem.

Multiple semiclassical states for singular magnetic nonlinear Schrödinger equations.

Multiple solutions for a singular semilinear elliptic problems with critical exponent and symmetries.

Multiple solutions for inhomogeneous nonlinear elliptic problems arising in astrophyscs.

Multiple solutions for nonlinear discontinuous strongly resonant elliptic problems.

Multiple solutions for nonlinear elliptic equations on Riemannian manifolds.

Multiple solutions for quasilinear elliptic Neumann problems in Orlicz-Sobolev spaces.

Multiple solutions for quasilinear elliptic problems with nonlinear boundary conditions.

Multiple solutions for semilinear elliptic boundary value problems at resonance.

Currently displaying 21 – 40 of 65