53 citations · 183 across the 67 of their papers we have counts for
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Boundary trace of positive solutions of supercritical semilinear elliptic equations in dihedral domains
Moshe Marcus, Laurent Veron
We study the generalized boundary value problem for (E)\; in a dihedral domain $\Gw$, when is supercritical. The value of the critical exponent can take on…
Semilinear fractional elliptic equations with gradient nonlinearity involving measures
Huyuan Chen, Laurent Veron
We study the existence of solutions to the fractional elliptic equation (E1) in a bounded regular domain of , subject to the condition…
Wiener criteria for existence of large solutions of quasilinear elliptic equations with absorption
Hung Nguyen Quoc, Laurent Veron
We obtain sufficient conditions expressed in terms of Wiener type tests involving Hausdorff or Bessel capacities for the existence of large solutions to equations (1) $-\Gd_pu+e^{λ…
Classification of positive solutions of heat equation with supercritical absorption
Konstantinos Gkikas, Laurent Veron
Let . We prove that any positive solution of (E) $\prt_t u-\xD u+u^q=0$ in admits an initial trace which is a nonnegative Borel…
Weak and strong singular solutions of semilinear fractional elliptic equations
Huyuan Chen, Laurent Veron
Let , and be a bounded domain containing . If is the Dirac measure at and , we prove that the weakly sin…
Quasilinear elliptic Hamilton-Jacobi equations on complete manifolds
Marie-Françoise Bidaut-Veron, Marta Garcia-Huidobro, Laurent Veron
Let (M^n,g) be a n-dimensional complete, non-compact and connected Riemannian manifold, with Ricci tensor Ricc_g and sectional curvature Sec_g. Assume Ricc_g\geq (1-n)B^2, and eith…