1,721,140 research outputs found
An application of a variational theorem of mixed type to a superlinear elliptic problem
No full textAbstractWe prove the existence of four solutions for the superlinear subcritical elliptic problem −Δu=λu−(u−)p−te1 in Ω, u=0 on ∂Ω, when t>0, λj<λ<λj+1 and λ is close enough to λj+1 for j≥1 (here e1 is the positive eigenfunction corresponding to λ1 and (λi)i≥1 is the sequence of the eigenvalues of −Δ in H10(Ω))
On the existence of symmetric solutions to some singularly perturbed semilinear elliptic problems
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A generic properties of the resonance set of an elliptic operator zith respect to the domain
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Locating the peak of ground states of nonlinear Schrodinger equations
No full textIn this paper we study standing wave solutions arising from the nonlinear Schrodinger equation [GRAPHICS] It is known that the peak of the ground state approaches an absolute mini/-mum point of the potential V. Here we prove that if the absolute minimum value of V is achieved at more than one point, then the ground state concentrates where the potential V is flatter
On the effect of critical points of the distance function in superlinear elliptic problems
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