The boundary trace of positive solutions of semilinear elliptic equations: the subcritical case
From MaRDI portal
Publication:1283225
DOI10.1007/s002050050116zbMath0924.35050OpenAlexW2074124500MaRDI QIDQ1283225
Laurent Véron, Morel M. Marcus
Publication date: 11 November 1999
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002050050116
Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Semilinear elliptic equations (35J61) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)
Related Items
Boundary layer and spike layer solutions for a bistable elliptic problem with generalized boundary conditions, Large and very singular solutions to semilinear elliptic equations, Initial trace of positive solutions of some nonlinear parabolic equations, Backward stochastic differential equations with random stopping time and singular final condition, Positive solutions for semilinear elliptic systems with boundary measure data, Maximal solutions of semilinear elliptic equations with locally integrable forcing term, Semilinear fractional elliptic equations with combined nonlinearities and measure data, Boundary singularities of solutions of \(N\)-harmonic equations with absorption, The parabolic logistic equation with blow-up initial and boundary values, Complete classification of the positive solutions of \(-\Delta u+u^q\), The precise boundary trace of solutions of a class of supercritical nonlinear equations, Markov Processes and Their Applications to Partial Differential Equations: Kuznetsov’s Contributions, Capacitary estimates of solutions of semilinear parabolic equations, Maximal solutions of the equation \(\Delta u=u^{q}\) in arbitrary domains, Elliptic equations with Hardy potential and gradient-dependent nonlinearity, Isolated boundary singularities of semilinear elliptic equations, On isolated singularities of Kirchhoff equations, Boundary singularities of semilinear elliptic equations with Leray-Hardy potential, On the equation \(-\Delta u + e^{u} - 1 = 0\) with measures as boundary data, Trace and boundary singularities of positive solutions of a class of quasilinear equations, Positive solutions of a semilinear elliptic equation with singular Dirichlet boundary data, A diffusive logistic equation with a free boundary and sign-changing coefficient in time-periodic environment, Nonnegative solutions of the heat equation in a cylindrical domain and Widder's theorem, Capacitary estimates of solutions of a class of nonlinear elliptic equations., Weak solutions of semilinear elliptic equation involving Dirac mass, Continuity problem for singular BSDE with random terminal time, Boundary singularities of solutions to elliptic viscous Hamilton-Jacobi equations, Semilinear elliptic equations admitting similarity transformations, Fading absorption in non-linear elliptic equations, Wiener regularity for large solutions of nonlinear equations, Large solutions of elliptic equations with a weakly superlinear nonlinearity, Semilinear fractional elliptic equations involving measures, Positive solutions of a class of semilinear equations with absorption and Schrödinger equations, A class of boundary traces for solutions of the equation \(Lu=\psi (u)\), On a class of semilinear fractional elliptic equations involving outside Dirac data, Moderate solutions of semilinear elliptic equations with Hardy potential, Exact singular behavior of positive solutions to nonlinear elliptic equations with a Hardy potential, Unnamed Item, Boundary singularities of solutions to semilinear fractional equations, On the existence of weak solutions of semilinear elliptic equations and systems with Hardy potentials, Semilinear fractional elliptic equations with gradient nonlinearity involving measures, Boundary singularity problem of some nonlinear elliptic equations, Capacitary estimates of positive solutions of semilinear elliptic equations with absorption, Reduced limits for nonlinear equations with measures, Stochastic integral representation and regularity of the density for the exit measure of super-Brownian motion, The boundary trace and generalized boundary value problem for semilinear elliptic equations with coercive absorption, Sharp existence and classification results for nonlinear elliptic equations in \(\mathbb{R}^N \setminus \{0\}\) with Hardy potential, On Uniqueness of Boundary Blow-Up Solutions of a Class of Nonlinear Elliptic Equations, Maximal solutions for \(-\Delta u+u^q=0\) in open and finely open sets, On Uniqueness of Large Solutions of Nonlinear Parabolic Equations in Nonsmooth Domains, Uniqueness and local properties of positive solutions to a semilinear elliptic equation with singular potentials, Large solutions for Yamabe and similar problems on domains in Riemannian manifolds, Blow-up solutions for fully nonlinear equations: existence, asymptotic estimates and uniqueness, Classification and probabilistic representation for the positive solutions of a semilinear elliptic equation., Remarks on the uniqueness problem for the logistic equation on the entire space, The periodic logistic equation with spatial and temporal degeneracies, Nonlinear elliptic equations with measure valued absorption potentials, Initial trace of solutions of some quasilinear parabolic equations with absorption, Reduced measures on the boundary, Long-time behavior of a cooperative periodic-parabolic system: temporal degeneracy versus spatial degeneracy, Elliptic equations with nonlinear absorption depending on the solution and its gradient, Classification of razor blades to the filtration equation -- the sublinear case., Semilinear parabolic equations with measure boundary data and isolated singularities, Removable singularities and boundary traces.
