# Some results on semilinear systems on the unbounded space R3.

Revista Matemática Complutense (2000)

- Volume: 13, Issue: 1, page 207-229
- ISSN: 1139-1138

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topMercier, J. M.. "Some results on semilinear systems on the unbounded space R3.." Revista Matemática Complutense 13.1 (2000): 207-229. <http://eudml.org/doc/44394>.

@article{Mercier2000,

abstract = {We study in this paper some systems, using standard tools devoted to the analysis of semilinear elliptic problems on R3. These systems do not admit any non trivial radial solutions in the E1 E2 = + 1 cases. A first type of solution consists in a ground state of R (-1,-1), exhibited by variational arguments, whose structure is a finite energy perturbation of a non trivial constant solution of R (-1,-1). A second type consists in a radial, oscillating, asymptotically null at infinity solution in the E1 E2 = + 1 cases that we exhibit using eigenvalue comparison and ordinary differential equation type arguments.},

author = {Mercier, J. M.},

journal = {Revista Matemática Complutense},

keywords = {Ecuaciones diferenciales elípticas; Ondas progresivas; Sistemas diferenciales; Ecuaciones diferenciales en derivadas parciales; unbounded space; semilinear elliptic systems; symmetric solutions},

language = {eng},

number = {1},

pages = {207-229},

title = {Some results on semilinear systems on the unbounded space R3.},

url = {http://eudml.org/doc/44394},

volume = {13},

year = {2000},

}

TY - JOUR

AU - Mercier, J. M.

TI - Some results on semilinear systems on the unbounded space R3.

JO - Revista Matemática Complutense

PY - 2000

VL - 13

IS - 1

SP - 207

EP - 229

AB - We study in this paper some systems, using standard tools devoted to the analysis of semilinear elliptic problems on R3. These systems do not admit any non trivial radial solutions in the E1 E2 = + 1 cases. A first type of solution consists in a ground state of R (-1,-1), exhibited by variational arguments, whose structure is a finite energy perturbation of a non trivial constant solution of R (-1,-1). A second type consists in a radial, oscillating, asymptotically null at infinity solution in the E1 E2 = + 1 cases that we exhibit using eigenvalue comparison and ordinary differential equation type arguments.

LA - eng

KW - Ecuaciones diferenciales elípticas; Ondas progresivas; Sistemas diferenciales; Ecuaciones diferenciales en derivadas parciales; unbounded space; semilinear elliptic systems; symmetric solutions

UR - http://eudml.org/doc/44394

ER -

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