Existence of solutions and nonnegative solutions for prescribed variable exponent mean curvature impulsive system initialized boundary value problems.
Existence of solutions for a class of first order boundary value problems
In this work, we are interested in the existence of solutions for a class of first order boundary value problems (BVPs for short). We give new sufficient conditions under which the considered problems have at least one solution, one nonnegative solution and two non trivial nonnegative solutions, respectively. To prove our main results we propose a new approach based upon recent theoretical results. The results complement some recent ones.
Existence of solutions to a third-order multi-point problem on time scales.
Existence of symmetric positive solutions for an -point boundary value problem.
Existence of three positive solutions for -point discrete boundary value problems with -Laplacian.
Existence of three positive solutions to nonlinear boundary value problems.
Existence of three solutions for a higher-order boundary-value problem.
Existence Principles for Singular Vector Nonlocal Boundary Value Problems with -Laplacian and their Applications
Existence principles for solutions of singular differential systems satisfying nonlocal boundary conditions are stated. Here is a homeomorphism onto and the Carathéodory function may have singularities in its space variables. Applications of the existence principles are given.
Existence results for higher-order boundary value problems on time scales.
Existence results for singular boundary value problem of nonlinear fractional differential equation.
Existence theory for single and multiple solutions to singular positone boundary value problems for the delay one-dimensional p-Laplacian
The existence of single and multiple nonnegative solutions for singular positone boundary value problems to the delay one-dimensional p-Laplacian is discussed. Throughout our nonlinearity f(·,y) may be singular at y = 0.
Explosive solutions of semilinear elliptic systems with gradient term.
Estudiamos la existencia de soluciones del sistema elíptico no lineal Δu + |∇u| = p(|x|)f(v), Δv + |∇v| = q(|x|)g(u) en Ω que explotan en el borde. Aquí Ω es un dominio acotado de RN o el espacio total. Las nolinealidades f y g son funciones continuas positivas mientras que los potenciales p y q son funciones continuas que satisfacen apropiadas condiciones de crecimiento en el infinito. Demostramos que las soluciones explosivas en el borde dejan de existir si f y g son sublineales. Esto se tiene...