# Sign-changing solutions and multiplicity results for some quasi-linear elliptic Dirichlet problems

Commentationes Mathematicae Universitatis Carolinae (2007)

- Volume: 48, Issue: 3, page 395-415
- ISSN: 0010-2628

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topOmana, Rebecca Walo. "Sign-changing solutions and multiplicity results for some quasi-linear elliptic Dirichlet problems." Commentationes Mathematicae Universitatis Carolinae 48.3 (2007): 395-415. <http://eudml.org/doc/250221>.

@article{Omana2007,

abstract = {In this paper we show some results of multiplicity and existence of sign-changing solutions using a mountain pass theorem in ordered intervals, for a class of quasi-linear elliptic Dirichlet problems. As a by product we construct a special pseudo-gradient vector field and a negative pseudo-gradient flow for the nondifferentiable functional associated to our class of problems.},

author = {Omana, Rebecca Walo},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {sign-changing; mountain-pass theorem; ordered intervals; sign-changing solutions; quasilinear elliptic equation; mountain pass theorem; multiplicity of solutions},

language = {eng},

number = {3},

pages = {395-415},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {Sign-changing solutions and multiplicity results for some quasi-linear elliptic Dirichlet problems},

url = {http://eudml.org/doc/250221},

volume = {48},

year = {2007},

}

TY - JOUR

AU - Omana, Rebecca Walo

TI - Sign-changing solutions and multiplicity results for some quasi-linear elliptic Dirichlet problems

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 2007

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 48

IS - 3

SP - 395

EP - 415

AB - In this paper we show some results of multiplicity and existence of sign-changing solutions using a mountain pass theorem in ordered intervals, for a class of quasi-linear elliptic Dirichlet problems. As a by product we construct a special pseudo-gradient vector field and a negative pseudo-gradient flow for the nondifferentiable functional associated to our class of problems.

LA - eng

KW - sign-changing; mountain-pass theorem; ordered intervals; sign-changing solutions; quasilinear elliptic equation; mountain pass theorem; multiplicity of solutions

UR - http://eudml.org/doc/250221

ER -

## References

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