AbstractFor p≥0, let σ=n+2−p(n−2). Let K(x) be nonnegative in Rn and satisfy the conditions that |x|σ2K(x) is nondecreasing along each ray {tξ∣t>0} for any unit vector ξ∈Rn and lim|x|→+∞|x|σ2K(x)=+∞. For p<1, assume in addition that K(x) is locally bounded in Rn∖{0}. Then −Δu=K(x)up possesses no positive solutions
AbstractIn this note, we consider the polyharmonic system (−Δ)mu=vα, (−Δ)mv=uβ in RN with N>2m and α...
AbstractUsing variational methods we establish the existence of nontrivial solutions for the followi...
AbstractIn this paper we give an existence and uniqueness theorem for a nonlinear second order homog...
AbstractWe investigate the existence, nonexistence, and multiplicity of positive radial solutions fo...
AbstractIn this note, we consider the quasilinear elliptic equation ±Δpu=h(x)um+H(x)un in RN (N⩾3), ...
AbstractThis paper studies the p-Laplacian equation −Δpu+λVλ(x)|u|p−2u=f(x,u)inRN, where 1<p<N,λ≥1 a...
AbstractIn this paper we prove some new existence results of nontrivial solutions for classes of ell...
AbstractFor the 2-dimensional anisotropic Sobolev inequality of the form∫R2|u|6dxdy⩽α(∫R2ux2dxdy)2∫R...
AbstractIn this paper, by using the idea of category, we investigate how the shape of the graph of f...
AbstractWe establish nonexistence of nonnegative solutions to the BVP:−Δpu=λf(u)in B,u=0on ∂B, where...
AbstractWe consider the problem {−Δu=λK(|x|)f(u),x∈Ωu=0if |x|=r0u→0as |x|→∞, where λ is a positive p...
AbstractIn this paper we study the existence of positive large solutions for the equation Δpu+λ|∇u|p...
AbstractThis paper is concerned with the existence of positive solutions to the class of p&q ellipti...
AbstractIn this paper, by Morse theory we obtain the existence and multiplicity for a class of the q...
AbstractThis paper deals with the existence of positive solutions to a Dirichlet problem for the sup...
AbstractIn this note, we consider the polyharmonic system (−Δ)mu=vα, (−Δ)mv=uβ in RN with N>2m and α...
AbstractUsing variational methods we establish the existence of nontrivial solutions for the followi...
AbstractIn this paper we give an existence and uniqueness theorem for a nonlinear second order homog...
AbstractWe investigate the existence, nonexistence, and multiplicity of positive radial solutions fo...
AbstractIn this note, we consider the quasilinear elliptic equation ±Δpu=h(x)um+H(x)un in RN (N⩾3), ...
AbstractThis paper studies the p-Laplacian equation −Δpu+λVλ(x)|u|p−2u=f(x,u)inRN, where 1<p<N,λ≥1 a...
AbstractIn this paper we prove some new existence results of nontrivial solutions for classes of ell...
AbstractFor the 2-dimensional anisotropic Sobolev inequality of the form∫R2|u|6dxdy⩽α(∫R2ux2dxdy)2∫R...
AbstractIn this paper, by using the idea of category, we investigate how the shape of the graph of f...
AbstractWe establish nonexistence of nonnegative solutions to the BVP:−Δpu=λf(u)in B,u=0on ∂B, where...
AbstractWe consider the problem {−Δu=λK(|x|)f(u),x∈Ωu=0if |x|=r0u→0as |x|→∞, where λ is a positive p...
AbstractIn this paper we study the existence of positive large solutions for the equation Δpu+λ|∇u|p...
AbstractThis paper is concerned with the existence of positive solutions to the class of p&q ellipti...
AbstractIn this paper, by Morse theory we obtain the existence and multiplicity for a class of the q...
AbstractThis paper deals with the existence of positive solutions to a Dirichlet problem for the sup...
AbstractIn this note, we consider the polyharmonic system (−Δ)mu=vα, (−Δ)mv=uβ in RN with N>2m and α...
AbstractUsing variational methods we establish the existence of nontrivial solutions for the followi...
AbstractIn this paper we give an existence and uniqueness theorem for a nonlinear second order homog...
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