The main purpose of this paper is to study the existence of single-peaked positive solutions of the singularly perturbed elliptic equation -ε2 div (J(x)∇ u) + V(x) u = f(u) in ℝN , where J is a symmetric uniformly elliptic matrix and V is a positive potential, possibly unbounded from above. If f(u) = up , then solutions concentrate at non-degenerate critical points of Γ (x) = V(x)p+1/p-1-N/2 (det J (x))1/2

On a class of singularly perturbed elliptic equations in divergence form: existence and multiplicity results / Pomponio, A.; Secchi, S.. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 207:2(2004), pp. 229-266. [10.1016/j.jde.2004.06.015]

On a class of singularly perturbed elliptic equations in divergence form: existence and multiplicity results

Pomponio, A.;
2004-01-01

Abstract

The main purpose of this paper is to study the existence of single-peaked positive solutions of the singularly perturbed elliptic equation -ε2 div (J(x)∇ u) + V(x) u = f(u) in ℝN , where J is a symmetric uniformly elliptic matrix and V is a positive potential, possibly unbounded from above. If f(u) = up , then solutions concentrate at non-degenerate critical points of Γ (x) = V(x)p+1/p-1-N/2 (det J (x))1/2
2004
On a class of singularly perturbed elliptic equations in divergence form: existence and multiplicity results / Pomponio, A.; Secchi, S.. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 207:2(2004), pp. 229-266. [10.1016/j.jde.2004.06.015]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/5390
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