We prove the monotonicity of nonnegative bounded solutions of the Dirichlet problem for the quasilinear elliptic equation −Δpu = f(u), p ≥ 3, in a half-space. This assertion implies new results on the nonexistence of solutions for the case in which f(u) = uq with appropriate values of q. © 2016, Pleiades Publishing, Ltd
We consider the semilinear elliptic equation Δu = p(x)f(u) on a domain Ω ⊆ Rn, n ≥ 3, where f is a...
We consider the semilinear elliptic equation Δu = p(x)f(u) on a domain Ω ⊆ Rn, n ≥ 3, where f is a...
In this paper we consider classical solutions u of the semilinear fractional problem (- Δ) su= f(u) ...
We prove the monotonicity of nonnegative bounded solutions of the Dirichlet problem for the quasilin...
Based on the method of nonlinear capacity, we study the nonexistence of nonnegative monotonic soluti...
Based on the method of nonlinear capacity, we study the nonexistence of nonnegative monotonic solut...
AbstractIn this paper we study the problem−Δpu=fx,u,∇uin Ωu=0on ∂Ω,where Ω⊂RN is a smooth bounded do...
Based on the method of nonlinear capacity, we study the nonexistence of nonnegative monotonic soluti...
In this paper we prove some existence theorems for the Dirichlet problem in {Mathematical expression...
New nonexistence results are obtained for entire bounded (either from above or from below) weak solu...
New nonexistence results are obtained for entire bounded (either from above or from below) weak solu...
AbstractIn this note, we consider the quasilinear elliptic equation ±Δpu=h(x)um+H(x)un in RN (N⩾3), ...
We consider quasilinear elliptic problems of the form Delta(p)u + f(u) = 0 over the half-space H = {...
AbstractUsing variational methods we study the existence and multiplicity of solutions of the Dirich...
In this paper we study the problem -Delta(p)u = f(x, u, del u) in Omega u = 0 on partial derivative ...
We consider the semilinear elliptic equation Δu = p(x)f(u) on a domain Ω ⊆ Rn, n ≥ 3, where f is a...
We consider the semilinear elliptic equation Δu = p(x)f(u) on a domain Ω ⊆ Rn, n ≥ 3, where f is a...
In this paper we consider classical solutions u of the semilinear fractional problem (- Δ) su= f(u) ...
We prove the monotonicity of nonnegative bounded solutions of the Dirichlet problem for the quasilin...
Based on the method of nonlinear capacity, we study the nonexistence of nonnegative monotonic soluti...
Based on the method of nonlinear capacity, we study the nonexistence of nonnegative monotonic solut...
AbstractIn this paper we study the problem−Δpu=fx,u,∇uin Ωu=0on ∂Ω,where Ω⊂RN is a smooth bounded do...
Based on the method of nonlinear capacity, we study the nonexistence of nonnegative monotonic soluti...
In this paper we prove some existence theorems for the Dirichlet problem in {Mathematical expression...
New nonexistence results are obtained for entire bounded (either from above or from below) weak solu...
New nonexistence results are obtained for entire bounded (either from above or from below) weak solu...
AbstractIn this note, we consider the quasilinear elliptic equation ±Δpu=h(x)um+H(x)un in RN (N⩾3), ...
We consider quasilinear elliptic problems of the form Delta(p)u + f(u) = 0 over the half-space H = {...
AbstractUsing variational methods we study the existence and multiplicity of solutions of the Dirich...
In this paper we study the problem -Delta(p)u = f(x, u, del u) in Omega u = 0 on partial derivative ...
We consider the semilinear elliptic equation Δu = p(x)f(u) on a domain Ω ⊆ Rn, n ≥ 3, where f is a...
We consider the semilinear elliptic equation Δu = p(x)f(u) on a domain Ω ⊆ Rn, n ≥ 3, where f is a...
In this paper we consider classical solutions u of the semilinear fractional problem (- Δ) su= f(u) ...